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Finding the Fourth Proportional to 66,769.80, 100,168.14 and 24,650.16

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Solution

The fourth proportional to 66,769.80, 100,168.14 and 24,650.16 is: 36,980.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,769.80 : 100,168.14 = 24,650.16 : x
  2. Step 2: Convert to fraction form
    66,769.80/100,168.14 = 24,650.16/x
  3. Step 3: Cross multiply
    66,769.80x = 100,168.14 × 24,650.16
  4. Step 4: Simplify right side
    66,769.80x = 2,469,160,677.90
  5. Step 5: Solve for x
    x = 2,469,160,677.90/66,769.80
  6. Step 6: Final answer
    x = 36,980.20

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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.