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Finding the Fourth Proportional to 38,204.60, 57,306.90 and 24,207.80

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Solution

The fourth proportional to 38,204.60, 57,306.90 and 24,207.80 is: 36,311.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,204.60 : 57,306.90 = 24,207.80 : x
  2. Step 2: Convert to fraction form
    38,204.60/57,306.90 = 24,207.80/x
  3. Step 3: Cross multiply
    38,204.60x = 57,306.90 × 24,207.80
  4. Step 4: Simplify right side
    38,204.60x = 1,387,273,973.82
  5. Step 5: Solve for x
    x = 1,387,273,973.82/38,204.60
  6. Step 6: Final answer
    x = 36,311.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.