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Finding the Fourth Proportional to 52,438.38, 72,366.17 and 29,773.77

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Solution

The fourth proportional to 52,438.38, 72,366.17 and 29,773.77 is: 41,088.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,438.38 : 72,366.17 = 29,773.77 : x
  2. Step 2: Convert to fraction form
    52,438.38/72,366.17 = 29,773.77/x
  3. Step 3: Cross multiply
    52,438.38x = 72,366.17 × 29,773.77
  4. Step 4: Simplify right side
    52,438.38x = 2,154,613,701.36
  5. Step 5: Solve for x
    x = 2,154,613,701.36/52,438.38
  6. Step 6: Final answer
    x = 41,088.49

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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.