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Finding the Fourth Proportional to 76,902.30, 115,331.85 and 24,327.90

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Solution

The fourth proportional to 76,902.30, 115,331.85 and 24,327.90 is: 36,485.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,902.30 : 115,331.85 = 24,327.90 : x
  2. Step 2: Convert to fraction form
    76,902.30/115,331.85 = 24,327.90/x
  3. Step 3: Cross multiply
    76,902.30x = 115,331.85 × 24,327.90
  4. Step 4: Simplify right side
    76,902.30x = 2,805,781,713.62
  5. Step 5: Solve for x
    x = 2,805,781,713.62/76,902.30
  6. Step 6: Final answer
    x = 36,485.02

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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.