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Finding the Fourth Proportional to 53,200.80, 73,414.16 and 29,327.44

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Solution

The fourth proportional to 53,200.80, 73,414.16 and 29,327.44 is: 40,470.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,200.80 : 73,414.16 = 29,327.44 : x
  2. Step 2: Convert to fraction form
    53,200.80/73,414.16 = 29,327.44/x
  3. Step 3: Cross multiply
    53,200.80x = 73,414.16 × 29,327.44
  4. Step 4: Simplify right side
    53,200.80x = 2,153,049,372.55
  5. Step 5: Solve for x
    x = 2,153,049,372.55/53,200.80
  6. Step 6: Final answer
    x = 40,470.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.