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Finding the Fourth Proportional to 52,388.70, 72,306.38 and 29,729.80

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Solution

The fourth proportional to 52,388.70, 72,306.38 and 29,729.80 is: 41,032.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,388.70 : 72,306.38 = 29,729.80 : x
  2. Step 2: Convert to fraction form
    52,388.70/72,306.38 = 29,729.80/x
  3. Step 3: Cross multiply
    52,388.70x = 72,306.38 × 29,729.80
  4. Step 4: Simplify right side
    52,388.70x = 2,149,653,886.71
  5. Step 5: Solve for x
    x = 2,149,653,886.71/52,388.70
  6. Step 6: Final answer
    x = 41,032.78

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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.