A city council commissioned a survey of $1,500$ registered voters from a population of $120,000$ voters to gauge support for a new public works project. The survey indicated that $55\%$ of voters favor the project, with a margin of error of $3.2\%$. Based on these results, what is the minimum plausible percentage, to the nearest tenth of a percent, of registered voters in the population who favor the public works project?

(Note: Enter your answer as a decimal, e.g., 45.6)