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Finding the Fourth Proportional to 82,079, 123,134.70 and 25,927.78

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Solution

The fourth proportional to 82,079, 123,134.70 and 25,927.78 is: 38,896.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,079 : 123,134.70 = 25,927.78 : x
  2. Step 2: Convert to fraction form
    82,079/123,134.70 = 25,927.78/x
  3. Step 3: Cross multiply
    82,079x = 123,134.70 × 25,927.78
  4. Step 4: Simplify right side
    82,079x = 3,192,608,796.29
  5. Step 5: Solve for x
    x = 3,192,608,796.29/82,079
  6. Step 6: Final answer
    x = 38,896.78

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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.