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Finding the Fourth Proportional to 49,234.50, 67,943.61 and 28,026

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Solution

The fourth proportional to 49,234.50, 67,943.61 and 28,026 is: 38,675.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,234.50 : 67,943.61 = 28,026 : x
  2. Step 2: Convert to fraction form
    49,234.50/67,943.61 = 28,026/x
  3. Step 3: Cross multiply
    49,234.50x = 67,943.61 × 28,026
  4. Step 4: Simplify right side
    49,234.50x = 1,904,187,613.86
  5. Step 5: Solve for x
    x = 1,904,187,613.86/49,234.50
  6. Step 6: Final answer
    x = 38,675.88

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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.