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Finding the Fourth Proportional to 31,778.87, 43,860.11 and 17,636.27

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Solution

The fourth proportional to 31,778.87, 43,860.11 and 17,636.27 is: 24,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,778.87 : 43,860.11 = 17,636.27 : x
  2. Step 2: Convert to fraction form
    31,778.87/43,860.11 = 17,636.27/x
  3. Step 3: Cross multiply
    31,778.87x = 43,860.11 × 17,636.27
  4. Step 4: Simplify right side
    31,778.87x = 773,528,434.71
  5. Step 5: Solve for x
    x = 773,528,434.71/31,778.87
  6. Step 6: Final answer
    x = 24,340.97

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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.