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Finding the Fourth Proportional to 82,218.62, 123,331.38 and 26,057.50

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Solution

The fourth proportional to 82,218.62, 123,331.38 and 26,057.50 is: 39,087.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,218.62 : 123,331.38 = 26,057.50 : x
  2. Step 2: Convert to fraction form
    82,218.62/123,331.38 = 26,057.50/x
  3. Step 3: Cross multiply
    82,218.62x = 123,331.38 × 26,057.50
  4. Step 4: Simplify right side
    82,218.62x = 3,213,707,434.35
  5. Step 5: Solve for x
    x = 3,213,707,434.35/82,218.62
  6. Step 6: Final answer
    x = 39,087.34

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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.