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Finding the Fourth Proportional to 51,898, 71,619.32 and 29,542

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Solution

The fourth proportional to 51,898, 71,619.32 and 29,542 is: 40,768.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,898 : 71,619.32 = 29,542 : x
  2. Step 2: Convert to fraction form
    51,898/71,619.32 = 29,542/x
  3. Step 3: Cross multiply
    51,898x = 71,619.32 × 29,542
  4. Step 4: Simplify right side
    51,898x = 2,115,777,951.44
  5. Step 5: Solve for x
    x = 2,115,777,951.44/51,898
  6. Step 6: Final answer
    x = 40,768.01

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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.