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Finding the Fourth Proportional to 80,433.38, 120,658.27 and 27,842.71

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Solution

The fourth proportional to 80,433.38, 120,658.27 and 27,842.71 is: 41,766.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,433.38 : 120,658.27 = 27,842.71 : x
  2. Step 2: Convert to fraction form
    80,433.38/120,658.27 = 27,842.71/x
  3. Step 3: Cross multiply
    80,433.38x = 120,658.27 × 27,842.71
  4. Step 4: Simplify right side
    80,433.38x = 3,359,453,220.71
  5. Step 5: Solve for x
    x = 3,359,453,220.71/80,433.38
  6. Step 6: Final answer
    x = 41,766.90

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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.