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Finding the Fourth Proportional to 82,139.97, 123,191.38 and 37,724.03

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Solution

The fourth proportional to 82,139.97, 123,191.38 and 37,724.03 is: 56,577.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,139.97 : 123,191.38 = 37,724.03 : x
  2. Step 2: Convert to fraction form
    82,139.97/123,191.38 = 37,724.03/x
  3. Step 3: Cross multiply
    82,139.97x = 123,191.38 × 37,724.03
  4. Step 4: Simplify right side
    82,139.97x = 4,647,274,912.57
  5. Step 5: Solve for x
    x = 4,647,274,912.57/82,139.97
  6. Step 6: Final answer
    x = 56,577.51

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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.