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Finding the Fourth Proportional to 75,640.49, 113,473.05 and 22,337.86

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Solution

The fourth proportional to 75,640.49, 113,473.05 and 22,337.86 is: 33,510.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,640.49 : 113,473.05 = 22,337.86 : x
  2. Step 2: Convert to fraction form
    75,640.49/113,473.05 = 22,337.86/x
  3. Step 3: Cross multiply
    75,640.49x = 113,473.05 × 22,337.86
  4. Step 4: Simplify right side
    75,640.49x = 2,534,744,765.15
  5. Step 5: Solve for x
    x = 2,534,744,765.15/75,640.49
  6. Step 6: Final answer
    x = 33,510.42

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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.