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Finding the Fourth Proportional to 33,882.10, 50,729.14 and 25,537.17

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Solution

The fourth proportional to 33,882.10, 50,729.14 and 25,537.17 is: 38,234.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,882.10 : 50,729.14 = 25,537.17 : x
  2. Step 2: Convert to fraction form
    33,882.10/50,729.14 = 25,537.17/x
  3. Step 3: Cross multiply
    33,882.10x = 50,729.14 × 25,537.17
  4. Step 4: Simplify right side
    33,882.10x = 1,295,478,750.64
  5. Step 5: Solve for x
    x = 1,295,478,750.64/33,882.10
  6. Step 6: Final answer
    x = 38,234.90

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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.