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Finding the Fourth Proportional to 110,493.80, 165,640.22 and 40,324.20

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Solution

The fourth proportional to 110,493.80, 165,640.22 and 40,324.20 is: 60,449.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,493.80 : 165,640.22 = 40,324.20 : x
  2. Step 2: Convert to fraction form
    110,493.80/165,640.22 = 40,324.20/x
  3. Step 3: Cross multiply
    110,493.80x = 165,640.22 × 40,324.20
  4. Step 4: Simplify right side
    110,493.80x = 6,679,309,359.32
  5. Step 5: Solve for x
    x = 6,679,309,359.32/110,493.80
  6. Step 6: Final answer
    x = 60,449.63

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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.