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Finding the Fourth Proportional to 52,324.80, 72,206.72 and 29,665.92

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Solution

The fourth proportional to 52,324.80, 72,206.72 and 29,665.92 is: 40,938.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,324.80 : 72,206.72 = 29,665.92 : x
  2. Step 2: Convert to fraction form
    52,324.80/72,206.72 = 29,665.92/x
  3. Step 3: Cross multiply
    52,324.80x = 72,206.72 × 29,665.92
  4. Step 4: Simplify right side
    52,324.80x = 2,142,078,778.98
  5. Step 5: Solve for x
    x = 2,142,078,778.98/52,324.80
  6. Step 6: Final answer
    x = 40,938.12

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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.