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Finding the Fourth Proportional to 66,772.16, 100,171.60 and 24,652.50

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Solution

The fourth proportional to 66,772.16, 100,171.60 and 24,652.50 is: 36,983.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,772.16 : 100,171.60 = 24,652.50 : x
  2. Step 2: Convert to fraction form
    66,772.16/100,171.60 = 24,652.50/x
  3. Step 3: Cross multiply
    66,772.16x = 100,171.60 × 24,652.50
  4. Step 4: Simplify right side
    66,772.16x = 2,469,479,929.77
  5. Step 5: Solve for x
    x = 2,469,479,929.77/66,772.16
  6. Step 6: Final answer
    x = 36,983.68

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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.