Finding the Fourth Proportional to 32,256,413.20, 48,384,619.80 and 24,194,256.40
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Solution
The fourth proportional to 32,256,413.20, 48,384,619.80 and 24,194,256.40 is: 36,291,384.60
Step by Step Solution
- Step 1: Write the proportion equation
32,256,413.20 : 48,384,619.80 = 24,194,256.40 : x - Step 2: Convert to fraction form
32,256,413.20/48,384,619.80 = 24,194,256.40/x - Step 3: Cross multiply
32,256,413.20x = 48,384,619.80 × 24,194,256.40 - Step 4: Simplify right side
32,256,413.20x = 1,170,629,897,257,716.50 - Step 5: Solve for x
x = 1,170,629,897,257,716.50/32,256,413.20 - Step 6: Final answer
x = 36,291,384.60
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.