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Finding the Fourth Proportional to 34,882, 48,126.52 and 19,772.24

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Solution

The fourth proportional to 34,882, 48,126.52 and 19,772.24 is: 27,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,882 : 48,126.52 = 19,772.24 : x
  2. Step 2: Convert to fraction form
    34,882/48,126.52 = 19,772.24/x
  3. Step 3: Cross multiply
    34,882x = 48,126.52 × 19,772.24
  4. Step 4: Simplify right side
    34,882x = 951,569,103.80
  5. Step 5: Solve for x
    x = 951,569,103.80/34,882
  6. Step 6: Final answer
    x = 27,279.66

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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.