Lauren has been gardening for many years and, in her extensive studies, has found that the number of flowers that bloom is directly proportional to the number of seeds planted and the square root of average rainfall (in inches) and inversely proportional to the number of "cold days" (days with temperatures below 50 degrees Fahrenheit). If Lauren planted 50 seeds, the average rainfall was 9 inches, she counted 25 cold days, and 45 flowers bloomed, how many flowers will bloom with 100 seed planted, 4 inches of rain, and 30 cold days?