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Finding the Fourth Proportional to 31,514.80, 47,272.20 and 29,570.80

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Solution

The fourth proportional to 31,514.80, 47,272.20 and 29,570.80 is: 44,356.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,514.80 : 47,272.20 = 29,570.80 : x
  2. Step 2: Convert to fraction form
    31,514.80/47,272.20 = 29,570.80/x
  3. Step 3: Cross multiply
    31,514.80x = 47,272.20 × 29,570.80
  4. Step 4: Simplify right side
    31,514.80x = 1,397,876,771.76
  5. Step 5: Solve for x
    x = 1,397,876,771.76/31,514.80
  6. Step 6: Final answer
    x = 44,356.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.