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Finding the Fourth Proportional to 82,249.27, 123,348.78 and 34,863.47

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Solution

The fourth proportional to 82,249.27, 123,348.78 and 34,863.47 is: 52,284.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,249.27 : 123,348.78 = 34,863.47 : x
  2. Step 2: Convert to fraction form
    82,249.27/123,348.78 = 34,863.47/x
  3. Step 3: Cross multiply
    82,249.27x = 123,348.78 × 34,863.47
  4. Step 4: Simplify right side
    82,249.27x = 4,300,366,336.88
  5. Step 5: Solve for x
    x = 4,300,366,336.88/82,249.27
  6. Step 6: Final answer
    x = 52,284.55

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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.