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Finding the Fourth Proportional to 66,942.88, 100,414.34 and 25,389.88

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Solution

The fourth proportional to 66,942.88, 100,414.34 and 25,389.88 is: 38,084.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,942.88 : 100,414.34 = 25,389.88 : x
  2. Step 2: Convert to fraction form
    66,942.88/100,414.34 = 25,389.88/x
  3. Step 3: Cross multiply
    66,942.88x = 100,414.34 × 25,389.88
  4. Step 4: Simplify right side
    66,942.88x = 2,549,508,042.88
  5. Step 5: Solve for x
    x = 2,549,508,042.88/66,942.88
  6. Step 6: Final answer
    x = 38,084.83

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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.