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Finding the Fourth Proportional to 38,057.46, 52,569.50 and 29,214.24

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Solution

The fourth proportional to 38,057.46, 52,569.50 and 29,214.24 is: 40,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,057.46 : 52,569.50 = 29,214.24 : x
  2. Step 2: Convert to fraction form
    38,057.46/52,569.50 = 29,214.24/x
  3. Step 3: Cross multiply
    38,057.46x = 52,569.50 × 29,214.24
  4. Step 4: Simplify right side
    38,057.46x = 1,535,777,989.68
  5. Step 5: Solve for x
    x = 1,535,777,989.68/38,057.46
  6. Step 6: Final answer
    x = 40,354.19

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Why These Related Problems?

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