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Finding the Fourth Proportional to 50,397.72, 69,546.27 and 27,738.87

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Solution

The fourth proportional to 50,397.72, 69,546.27 and 27,738.87 is: 38,278.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,397.72 : 69,546.27 = 27,738.87 : x
  2. Step 2: Convert to fraction form
    50,397.72/69,546.27 = 27,738.87/x
  3. Step 3: Cross multiply
    50,397.72x = 69,546.27 × 27,738.87
  4. Step 4: Simplify right side
    50,397.72x = 1,929,134,456.09
  5. Step 5: Solve for x
    x = 1,929,134,456.09/50,397.72
  6. Step 6: Final answer
    x = 38,278.21

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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.