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Finding the Fourth Proportional to 82,349.68, 113,600.82 and 52,084.03

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Solution

The fourth proportional to 82,349.68, 113,600.82 and 52,084.03 is: 71,849.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,349.68 : 113,600.82 = 52,084.03 : x
  2. Step 2: Convert to fraction form
    82,349.68/113,600.82 = 52,084.03/x
  3. Step 3: Cross multiply
    82,349.68x = 113,600.82 × 52,084.03
  4. Step 4: Simplify right side
    82,349.68x = 5,916,788,516.90
  5. Step 5: Solve for x
    x = 5,916,788,516.90/82,349.68
  6. Step 6: Final answer
    x = 71,849.56

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Why These Related Problems?

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