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Finding the Fourth Proportional to 50,642.38, 69,882.89 and 27,981.12

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Solution

The fourth proportional to 50,642.38, 69,882.89 and 27,981.12 is: 38,611.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,642.38 : 69,882.89 = 27,981.12 : x
  2. Step 2: Convert to fraction form
    50,642.38/69,882.89 = 27,981.12/x
  3. Step 3: Cross multiply
    50,642.38x = 69,882.89 × 27,981.12
  4. Step 4: Simplify right side
    50,642.38x = 1,955,401,531.04
  5. Step 5: Solve for x
    x = 1,955,401,531.04/50,642.38
  6. Step 6: Final answer
    x = 38,611.96

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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.