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Finding the Fourth Proportional to 33,438.48, 50,160.14 and 11,251.76

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Solution

The fourth proportional to 33,438.48, 50,160.14 and 11,251.76 is: 16,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,438.48 : 50,160.14 = 11,251.76 : x
  2. Step 2: Convert to fraction form
    33,438.48/50,160.14 = 11,251.76/x
  3. Step 3: Cross multiply
    33,438.48x = 50,160.14 × 11,251.76
  4. Step 4: Simplify right side
    33,438.48x = 564,389,856.85
  5. Step 5: Solve for x
    x = 564,389,856.85/33,438.48
  6. Step 6: Final answer
    x = 16,878.45

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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.