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Finding the Fourth Proportional to 31,315.41, 43,214.72 and 17,168.31

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Solution

The fourth proportional to 31,315.41, 43,214.72 and 17,168.31 is: 23,691.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,315.41 : 43,214.72 = 17,168.31 : x
  2. Step 2: Convert to fraction form
    31,315.41/43,214.72 = 17,168.31/x
  3. Step 3: Cross multiply
    31,315.41x = 43,214.72 × 17,168.31
  4. Step 4: Simplify right side
    31,315.41x = 741,923,623.68
  5. Step 5: Solve for x
    x = 741,923,623.68/31,315.41
  6. Step 6: Final answer
    x = 23,691.97

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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.