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Finding the Fourth Proportional to 80,052.84, 110,523.86 and 49,882.48

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Solution

The fourth proportional to 80,052.84, 110,523.86 and 49,882.48 is: 68,869.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,052.84 : 110,523.86 = 49,882.48 : x
  2. Step 2: Convert to fraction form
    80,052.84/110,523.86 = 49,882.48/x
  3. Step 3: Cross multiply
    80,052.84x = 110,523.86 × 49,882.48
  4. Step 4: Simplify right side
    80,052.84x = 5,513,204,235.97
  5. Step 5: Solve for x
    x = 5,513,204,235.97/80,052.84
  6. Step 6: Final answer
    x = 68,869.56

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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.