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Finding the Fourth Proportional to 30,540.38, 42,144.99 and 17,112.20

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Solution

The fourth proportional to 30,540.38, 42,144.99 and 17,112.20 is: 23,614.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.38 : 42,144.99 = 17,112.20 : x
  2. Step 2: Convert to fraction form
    30,540.38/42,144.99 = 17,112.20/x
  3. Step 3: Cross multiply
    30,540.38x = 42,144.99 × 17,112.20
  4. Step 4: Simplify right side
    30,540.38x = 721,193,497.88
  5. Step 5: Solve for x
    x = 721,193,497.88/30,540.38
  6. Step 6: Final answer
    x = 23,614.42

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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.