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Finding the Fourth Proportional to 49,169.20, 67,836 and 29,016

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Solution

The fourth proportional to 49,169.20, 67,836 and 29,016 is: 40,031.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,169.20 : 67,836 = 29,016 : x
  2. Step 2: Convert to fraction form
    49,169.20/67,836 = 29,016/x
  3. Step 3: Cross multiply
    49,169.20x = 67,836 × 29,016
  4. Step 4: Simplify right side
    49,169.20x = 1,968,329,376
  5. Step 5: Solve for x
    x = 1,968,329,376/49,169.20
  6. Step 6: Final answer
    x = 40,031.76

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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.