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Finding the Fourth Proportional to 82,288.98, 123,451.56 and 25,363.26

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Solution

The fourth proportional to 82,288.98, 123,451.56 and 25,363.26 is: 38,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,288.98 : 123,451.56 = 25,363.26 : x
  2. Step 2: Convert to fraction form
    82,288.98/123,451.56 = 25,363.26/x
  3. Step 3: Cross multiply
    82,288.98x = 123,451.56 × 25,363.26
  4. Step 4: Simplify right side
    82,288.98x = 3,131,134,013.69
  5. Step 5: Solve for x
    x = 3,131,134,013.69/82,288.98
  6. Step 6: Final answer
    x = 38,050.47

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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.