I have a very scaggly, tall, at least 20 years old Dracaena Fragrans. I have cut the top off whenever it has gotten too tall for the house, but the trunk seems to be getting thinner and it does not stand on it's own. It seems to be very healthy other than the thin trunk. How can I rejuvenate this tree; as it is a part of my family? Also, I don't know if it is a true Dracaena Fragrans as the leaves do not have a yellow stripe on them, but it does have all the other characteristics of the Dracaena Fragrans. Any help would be much appreciated.