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Finding the Fourth Proportional to 49,846.59, 68,770.92 and 31,951.46

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Solution

The fourth proportional to 49,846.59, 68,770.92 and 31,951.46 is: 44,081.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,846.59 : 68,770.92 = 31,951.46 : x
  2. Step 2: Convert to fraction form
    49,846.59/68,770.92 = 31,951.46/x
  3. Step 3: Cross multiply
    49,846.59x = 68,770.92 × 31,951.46
  4. Step 4: Simplify right side
    49,846.59x = 2,197,331,591.29
  5. Step 5: Solve for x
    x = 2,197,331,591.29/49,846.59
  6. Step 6: Final answer
    x = 44,081.88

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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.