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Finding the Fourth Proportional to 31,614.57, 43,628.02 and 17,467.31

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Solution

The fourth proportional to 31,614.57, 43,628.02 and 17,467.31 is: 24,104.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.57 : 43,628.02 = 17,467.31 : x
  2. Step 2: Convert to fraction form
    31,614.57/43,628.02 = 17,467.31/x
  3. Step 3: Cross multiply
    31,614.57x = 43,628.02 × 17,467.31
  4. Step 4: Simplify right side
    31,614.57x = 762,064,215.43
  5. Step 5: Solve for x
    x = 762,064,215.43/31,614.57
  6. Step 6: Final answer
    x = 24,104.84

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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.