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Finding the Fourth Proportional to 34,273.38, 47,294.66 and 20,842.78

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Solution

The fourth proportional to 34,273.38, 47,294.66 and 20,842.78 is: 28,761.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,273.38 : 47,294.66 = 20,842.78 : x
  2. Step 2: Convert to fraction form
    34,273.38/47,294.66 = 20,842.78/x
  3. Step 3: Cross multiply
    34,273.38x = 47,294.66 × 20,842.78
  4. Step 4: Simplify right side
    34,273.38x = 985,752,193.55
  5. Step 5: Solve for x
    x = 985,752,193.55/34,273.38
  6. Step 6: Final answer
    x = 28,761.45

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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.