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Finding the Fourth Proportional to 51,709.38, 71,351.17 and 29,044.03

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Solution

The fourth proportional to 51,709.38, 71,351.17 and 29,044.03 is: 40,076.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,709.38 : 71,351.17 = 29,044.03 : x
  2. Step 2: Convert to fraction form
    51,709.38/71,351.17 = 29,044.03/x
  3. Step 3: Cross multiply
    51,709.38x = 71,351.17 × 29,044.03
  4. Step 4: Simplify right side
    51,709.38x = 2,072,325,522.02
  5. Step 5: Solve for x
    x = 2,072,325,522.02/51,709.38
  6. Step 6: Final answer
    x = 40,076.39

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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.