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Finding the Fourth Proportional to 82,744.92, 123,241.01 and 82,341.72

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Solution

The fourth proportional to 82,744.92, 123,241.01 and 82,341.72 is: 122,640.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,744.92 : 123,241.01 = 82,341.72 : x
  2. Step 2: Convert to fraction form
    82,744.92/123,241.01 = 82,341.72/x
  3. Step 3: Cross multiply
    82,744.92x = 123,241.01 × 82,341.72
  4. Step 4: Simplify right side
    82,744.92x = 10,147,876,737.94
  5. Step 5: Solve for x
    x = 10,147,876,737.94/82,744.92
  6. Step 6: Final answer
    x = 122,640.48

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.