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Finding the Fourth Proportional to 52,407.68, 72,318.96 and 29,747.12

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Solution

The fourth proportional to 52,407.68, 72,318.96 and 29,747.12 is: 41,048.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,407.68 : 72,318.96 = 29,747.12 : x
  2. Step 2: Convert to fraction form
    52,407.68/72,318.96 = 29,747.12/x
  3. Step 3: Cross multiply
    52,407.68x = 72,318.96 × 29,747.12
  4. Step 4: Simplify right side
    52,407.68x = 2,151,280,419.80
  5. Step 5: Solve for x
    x = 2,151,280,419.80/52,407.68
  6. Step 6: Final answer
    x = 41,048.96

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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.