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Finding the Fourth Proportional to 41,449.71, 62,115.71 and 31,926.02

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Solution

The fourth proportional to 41,449.71, 62,115.71 and 31,926.02 is: 47,843.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,449.71 : 62,115.71 = 31,926.02 : x
  2. Step 2: Convert to fraction form
    41,449.71/62,115.71 = 31,926.02/x
  3. Step 3: Cross multiply
    41,449.71x = 62,115.71 × 31,926.02
  4. Step 4: Simplify right side
    41,449.71x = 1,983,107,399.77
  5. Step 5: Solve for x
    x = 1,983,107,399.77/41,449.71
  6. Step 6: Final answer
    x = 47,843.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.