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Finding the Fourth Proportional to 50,635.12, 69,876.02 and 27,974.66

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Solution

The fourth proportional to 50,635.12, 69,876.02 and 27,974.66 is: 38,604.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,635.12 : 69,876.02 = 27,974.66 : x
  2. Step 2: Convert to fraction form
    50,635.12/69,876.02 = 27,974.66/x
  3. Step 3: Cross multiply
    50,635.12x = 69,876.02 × 27,974.66
  4. Step 4: Simplify right side
    50,635.12x = 1,954,757,901.65
  5. Step 5: Solve for x
    x = 1,954,757,901.65/50,635.12
  6. Step 6: Final answer
    x = 38,604.78

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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.