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Finding the Fourth Proportional to 82,163.34, 113,454.56 and 52,001.88

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Solution

The fourth proportional to 82,163.34, 113,454.56 and 52,001.88 is: 71,806.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,163.34 : 113,454.56 = 52,001.88 : x
  2. Step 2: Convert to fraction form
    82,163.34/113,454.56 = 52,001.88/x
  3. Step 3: Cross multiply
    82,163.34x = 113,454.56 × 52,001.88
  4. Step 4: Simplify right side
    82,163.34x = 5,899,850,414.57
  5. Step 5: Solve for x
    x = 5,899,850,414.57/82,163.34
  6. Step 6: Final answer
    x = 71,806.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.