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Finding the Fourth Proportional to 66,775.80, 100,177.14 and 24,656.16

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Solution

The fourth proportional to 66,775.80, 100,177.14 and 24,656.16 is: 36,989.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,775.80 : 100,177.14 = 24,656.16 : x
  2. Step 2: Convert to fraction form
    66,775.80/100,177.14 = 24,656.16/x
  3. Step 3: Cross multiply
    66,775.80x = 100,177.14 × 24,656.16
  4. Step 4: Simplify right side
    66,775.80x = 2,469,983,592.18
  5. Step 5: Solve for x
    x = 2,469,983,592.18/66,775.80
  6. Step 6: Final answer
    x = 36,989.20

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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.