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Finding the Fourth Proportional to 82,591, 123,891.18 and 23,422

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Solution

The fourth proportional to 82,591, 123,891.18 and 23,422 is: 35,134.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,591 : 123,891.18 = 23,422 : x
  2. Step 2: Convert to fraction form
    82,591/123,891.18 = 23,422/x
  3. Step 3: Cross multiply
    82,591x = 123,891.18 × 23,422
  4. Step 4: Simplify right side
    82,591x = 2,901,779,217.96
  5. Step 5: Solve for x
    x = 2,901,779,217.96/82,591
  6. Step 6: Final answer
    x = 35,134.33

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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.