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Finding the Fourth Proportional to 89,380.92, 123,347.16 and 49,096.38

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Solution

The fourth proportional to 89,380.92, 123,347.16 and 49,096.38 is: 67,753.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,380.92 : 123,347.16 = 49,096.38 : x
  2. Step 2: Convert to fraction form
    89,380.92/123,347.16 = 49,096.38/x
  3. Step 3: Cross multiply
    89,380.92x = 123,347.16 × 49,096.38
  4. Step 4: Simplify right side
    89,380.92x = 6,055,899,039.28
  5. Step 5: Solve for x
    x = 6,055,899,039.28/89,380.92
  6. Step 6: Final answer
    x = 67,753.82

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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.