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Finding the Fourth Proportional to 82,077, 123,127.38 and 25,898.04

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Solution

The fourth proportional to 82,077, 123,127.38 and 25,898.04 is: 38,850.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,077 : 123,127.38 = 25,898.04 : x
  2. Step 2: Convert to fraction form
    82,077/123,127.38 = 25,898.04/x
  3. Step 3: Cross multiply
    82,077x = 123,127.38 × 25,898.04
  4. Step 4: Simplify right side
    82,077x = 3,188,757,812.34
  5. Step 5: Solve for x
    x = 3,188,757,812.34/82,077
  6. Step 6: Final answer
    x = 38,850.81

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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.