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Finding the Fourth Proportional to 41,857.98, 62,788.26 and 12,275.88

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Solution

The fourth proportional to 41,857.98, 62,788.26 and 12,275.88 is: 18,414.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,857.98 : 62,788.26 = 12,275.88 : x
  2. Step 2: Convert to fraction form
    41,857.98/62,788.26 = 12,275.88/x
  3. Step 3: Cross multiply
    41,857.98x = 62,788.26 × 12,275.88
  4. Step 4: Simplify right side
    41,857.98x = 770,781,145.17
  5. Step 5: Solve for x
    x = 770,781,145.17/41,857.98
  6. Step 6: Final answer
    x = 18,414.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.