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We report studies of high-field magnetization, field-cooled magnetization, thermoremanent magnetization, and isothermal remanent magnetization as a function of temperature in the metallic glass sytem GdxLa72-xG28 where G28=Ga18B10 for the compositions x=72, 68, 64. The first two compositions show double-transition behavior and the last one shows only a paramagnetic to spin-glass transition. The approach to saturation at intermediate fields (up to 40 kOe) is of the form 1/H1/2 as predicted by a mean field model which incorporates a small random anisotropy. The field-cooled magnetization in these samples is independent of time and is reversible, suggesting it is the equilibrium magnetization. This field-cooled magnetization in the double transition samples (and spin-glass sample) goes smoothly to zero with applied field, indicating the absence of an equilibrium macroscopic moment in zero applied field. The thermoremanence shows a maximum which becomes progressively more pronounced as x decreases. Journal of Applied Physics is copyrighted by The American Institute of Physics.