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Finding the Fourth Proportional to 31,642.92, 43,668.10 and 17,496.27

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Solution

The fourth proportional to 31,642.92, 43,668.10 and 17,496.27 is: 24,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,642.92 : 43,668.10 = 17,496.27 : x
  2. Step 2: Convert to fraction form
    31,642.92/43,668.10 = 17,496.27/x
  3. Step 3: Cross multiply
    31,642.92x = 43,668.10 × 17,496.27
  4. Step 4: Simplify right side
    31,642.92x = 764,028,649.65
  5. Step 5: Solve for x
    x = 764,028,649.65/31,642.92
  6. Step 6: Final answer
    x = 24,145.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.