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Finding the Fourth Proportional to 82,331.87, 113,576.17 and 52,066.22

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Solution

The fourth proportional to 82,331.87, 113,576.17 and 52,066.22 is: 71,824.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,331.87 : 113,576.17 = 52,066.22 : x
  2. Step 2: Convert to fraction form
    82,331.87/113,576.17 = 52,066.22/x
  3. Step 3: Cross multiply
    82,331.87x = 113,576.17 × 52,066.22
  4. Step 4: Simplify right side
    82,331.87x = 5,913,481,853.98
  5. Step 5: Solve for x
    x = 5,913,481,853.98/82,331.87
  6. Step 6: Final answer
    x = 71,824.94

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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.