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Finding the Fourth Proportional to 33,993.12, 50,972.17 and 15,257.09

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Solution

The fourth proportional to 33,993.12, 50,972.17 and 15,257.09 is: 22,877.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993.12 : 50,972.17 = 15,257.09 : x
  2. Step 2: Convert to fraction form
    33,993.12/50,972.17 = 15,257.09/x
  3. Step 3: Cross multiply
    33,993.12x = 50,972.17 × 15,257.09
  4. Step 4: Simplify right side
    33,993.12x = 777,687,103.08
  5. Step 5: Solve for x
    x = 777,687,103.08/33,993.12
  6. Step 6: Final answer
    x = 22,877.78

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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.