KöMaL 2011 K279

Ann, Belle, Carol and Dora played with a deck of 52 cards. In one game, Dora was dealing out the cards one by one to the players, starting with Ann, followed by Belle, Carol and Dora in this order, when suddenly some of the cards she had not dealt out yet slipped out of her hands and fell on the floor. The girls noticed that the number of cards on the floor was 2/3 of the number of cards Ann had already got, and the number of cards that Carol had got was 2/3 of those in the remaining part of the deck in Dora's hand that she had not dealt out yet. How many cards had Dora dealt out altogether?