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Finding the Fourth Proportional to 49,443, 68,235.78 and 28,229.10

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Solution

The fourth proportional to 49,443, 68,235.78 and 28,229.10 is: 38,958.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,443 : 68,235.78 = 28,229.10 : x
  2. Step 2: Convert to fraction form
    49,443/68,235.78 = 28,229.10/x
  3. Step 3: Cross multiply
    49,443x = 68,235.78 × 28,229.10
  4. Step 4: Simplify right side
    49,443x = 1,926,234,657.20
  5. Step 5: Solve for x
    x = 1,926,234,657.20/49,443
  6. Step 6: Final answer
    x = 38,958.69

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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.