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Finding the Fourth Proportional to 83,580.60, 125,379 and 24,414.96

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Solution

The fourth proportional to 83,580.60, 125,379 and 24,414.96 is: 36,624.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,580.60 : 125,379 = 24,414.96 : x
  2. Step 2: Convert to fraction form
    83,580.60/125,379 = 24,414.96/x
  3. Step 3: Cross multiply
    83,580.60x = 125,379 × 24,414.96
  4. Step 4: Simplify right side
    83,580.60x = 3,061,123,269.84
  5. Step 5: Solve for x
    x = 3,061,123,269.84/83,580.60
  6. Step 6: Final answer
    x = 36,624.81

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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.