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Finding the Fourth Proportional to 38,542.43, 53,197.11 and 23,431.88

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Solution

The fourth proportional to 38,542.43, 53,197.11 and 23,431.88 is: 32,341.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,542.43 : 53,197.11 = 23,431.88 : x
  2. Step 2: Convert to fraction form
    38,542.43/53,197.11 = 23,431.88/x
  3. Step 3: Cross multiply
    38,542.43x = 53,197.11 × 23,431.88
  4. Step 4: Simplify right side
    38,542.43x = 1,246,508,297.87
  5. Step 5: Solve for x
    x = 1,246,508,297.87/38,542.43
  6. Step 6: Final answer
    x = 32,341.20

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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.