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Finding the Fourth Proportional to 80,350.92, 120,509.06 and 32,919.50

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Solution

The fourth proportional to 80,350.92, 120,509.06 and 32,919.50 is: 49,372.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,350.92 : 120,509.06 = 32,919.50 : x
  2. Step 2: Convert to fraction form
    80,350.92/120,509.06 = 32,919.50/x
  3. Step 3: Cross multiply
    80,350.92x = 120,509.06 × 32,919.50
  4. Step 4: Simplify right side
    80,350.92x = 3,967,098,000.67
  5. Step 5: Solve for x
    x = 3,967,098,000.67/80,350.92
  6. Step 6: Final answer
    x = 49,372.15

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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.