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Finding the Fourth Proportional to 40,147.62, 55,404.11 and 22,242.87

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Solution

The fourth proportional to 40,147.62, 55,404.11 and 22,242.87 is: 30,695.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,147.62 : 55,404.11 = 22,242.87 : x
  2. Step 2: Convert to fraction form
    40,147.62/55,404.11 = 22,242.87/x
  3. Step 3: Cross multiply
    40,147.62x = 55,404.11 × 22,242.87
  4. Step 4: Simplify right side
    40,147.62x = 1,232,346,416.20
  5. Step 5: Solve for x
    x = 1,232,346,416.20/40,147.62
  6. Step 6: Final answer
    x = 30,695.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.