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Finding the Fourth Proportional to 31,642.38, 43,668.11 and 18,215.57

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Solution

The fourth proportional to 31,642.38, 43,668.11 and 18,215.57 is: 25,138.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.38 : 43,668.11 = 18,215.57 : x
  2. Step 2: Convert to fraction form
    31,642.38/43,668.11 = 18,215.57/x
  3. Step 3: Cross multiply
    31,642.38x = 43,668.11 × 18,215.57
  4. Step 4: Simplify right side
    31,642.38x = 795,439,205.05
  5. Step 5: Solve for x
    x = 795,439,205.05/31,642.38
  6. Step 6: Final answer
    x = 25,138.41

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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.