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Finding the Fourth Proportional to 76,400.92, 114,624.85 and 36,470.86

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Solution

The fourth proportional to 76,400.92, 114,624.85 and 36,470.86 is: 54,717.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,400.92 : 114,624.85 = 36,470.86 : x
  2. Step 2: Convert to fraction form
    76,400.92/114,624.85 = 36,470.86/x
  3. Step 3: Cross multiply
    76,400.92x = 114,624.85 × 36,470.86
  4. Step 4: Simplify right side
    76,400.92x = 4,180,466,856.87
  5. Step 5: Solve for x
    x = 4,180,466,856.87/76,400.92
  6. Step 6: Final answer
    x = 54,717.49

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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.