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Finding the Fourth Proportional to 66,452.47, 99,649.44 and 24,321.60

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Solution

The fourth proportional to 66,452.47, 99,649.44 and 24,321.60 is: 36,471.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,452.47 : 99,649.44 = 24,321.60 : x
  2. Step 2: Convert to fraction form
    66,452.47/99,649.44 = 24,321.60/x
  3. Step 3: Cross multiply
    66,452.47x = 99,649.44 × 24,321.60
  4. Step 4: Simplify right side
    66,452.47x = 2,423,633,819.90
  5. Step 5: Solve for x
    x = 2,423,633,819.90/66,452.47
  6. Step 6: Final answer
    x = 36,471.69

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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.