adecuadamente

adv. appropriately, properly, in a fitting manner; suitably

= duly, properly, suitably, fittingly.
Ex: Marking manuscripts should be undertaken only for security reasons having duly considered the ethical and technical implications of such a course of action.
Ex: This group of fields should be completed before the fixed fields are entered, because the record type is needed for handling these fields properly.
Ex: First, Sholom Aleichem I recently spent something like twenty minutes talking over the telephone with a suitably irate and properly frustrated borrower.
Ex: 1982 has been designated, fittingly, the Year of Information Technology -- a recognition that we are now living in an information society.
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* progresar adecuadamente = progress + satisfactorily.