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Finding the Fourth Proportional to 89,739, 123,842.38 and 49,997.56

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Solution

The fourth proportional to 89,739, 123,842.38 and 49,997.56 is: 68,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,739 : 123,842.38 = 49,997.56 : x
  2. Step 2: Convert to fraction form
    89,739/123,842.38 = 49,997.56/x
  3. Step 3: Cross multiply
    89,739x = 123,842.38 × 49,997.56
  4. Step 4: Simplify right side
    89,739x = 6,191,816,824.59
  5. Step 5: Solve for x
    x = 6,191,816,824.59/89,739
  6. Step 6: Final answer
    x = 68,998.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.