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Finding the Fourth Proportional to 52,753.68, 72,805.03 and 31,532.49

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Solution

The fourth proportional to 52,753.68, 72,805.03 and 31,532.49 is: 43,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,753.68 : 72,805.03 = 31,532.49 : x
  2. Step 2: Convert to fraction form
    52,753.68/72,805.03 = 31,532.49/x
  3. Step 3: Cross multiply
    52,753.68x = 72,805.03 × 31,532.49
  4. Step 4: Simplify right side
    52,753.68x = 2,295,723,801.59
  5. Step 5: Solve for x
    x = 2,295,723,801.59/52,753.68
  6. Step 6: Final answer
    x = 43,517.79

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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.