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Finding the Fourth Proportional to 34,744.52, 47,945.34 and 20,402.28

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Solution

The fourth proportional to 34,744.52, 47,945.34 and 20,402.28 is: 28,153.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,744.52 : 47,945.34 = 20,402.28 : x
  2. Step 2: Convert to fraction form
    34,744.52/47,945.34 = 20,402.28/x
  3. Step 3: Cross multiply
    34,744.52x = 47,945.34 × 20,402.28
  4. Step 4: Simplify right side
    34,744.52x = 978,194,251.38
  5. Step 5: Solve for x
    x = 978,194,251.38/34,744.52
  6. Step 6: Final answer
    x = 28,153.91

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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.