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Finding the Fourth Proportional to 82,034.52, 123,103.62 and 47,042.52

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Solution

The fourth proportional to 82,034.52, 123,103.62 and 47,042.52 is: 70,593.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,034.52 : 123,103.62 = 47,042.52 : x
  2. Step 2: Convert to fraction form
    82,034.52/123,103.62 = 47,042.52/x
  3. Step 3: Cross multiply
    82,034.52x = 123,103.62 × 47,042.52
  4. Step 4: Simplify right side
    82,034.52x = 5,791,104,505.92
  5. Step 5: Solve for x
    x = 5,791,104,505.92/82,034.52
  6. Step 6: Final answer
    x = 70,593.51

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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.