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Finding the Fourth Proportional to 33,451.92, 50,142.75 and 11,257.61

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Solution

The fourth proportional to 33,451.92, 50,142.75 and 11,257.61 is: 16,874.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,451.92 : 50,142.75 = 11,257.61 : x
  2. Step 2: Convert to fraction form
    33,451.92/50,142.75 = 11,257.61/x
  3. Step 3: Cross multiply
    33,451.92x = 50,142.75 × 11,257.61
  4. Step 4: Simplify right side
    33,451.92x = 564,487,273.11
  5. Step 5: Solve for x
    x = 564,487,273.11/33,451.92
  6. Step 6: Final answer
    x = 16,874.59

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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.