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Finding the Fourth Proportional to 52,195, 72,029.10 and 29,839

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Solution

The fourth proportional to 52,195, 72,029.10 and 29,839 is: 41,177.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,195 : 72,029.10 = 29,839 : x
  2. Step 2: Convert to fraction form
    52,195/72,029.10 = 29,839/x
  3. Step 3: Cross multiply
    52,195x = 72,029.10 × 29,839
  4. Step 4: Simplify right side
    52,195x = 2,149,276,314.90
  5. Step 5: Solve for x
    x = 2,149,276,314.90/52,195
  6. Step 6: Final answer
    x = 41,177.82

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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.