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Finding the Fourth Proportional to 38,443, 57,668.28 and 10,741

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Solution

The fourth proportional to 38,443, 57,668.28 and 10,741 is: 16,112.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,443 : 57,668.28 = 10,741 : x
  2. Step 2: Convert to fraction form
    38,443/57,668.28 = 10,741/x
  3. Step 3: Cross multiply
    38,443x = 57,668.28 × 10,741
  4. Step 4: Simplify right side
    38,443x = 619,414,995.48
  5. Step 5: Solve for x
    x = 619,414,995.48/38,443
  6. Step 6: Final answer
    x = 16,112.56

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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.