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Finding the Fourth Proportional to 31,494.57, 43,462.49 and 17,347.41

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Solution

The fourth proportional to 31,494.57, 43,462.49 and 17,347.41 is: 23,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.57 : 43,462.49 = 17,347.41 : x
  2. Step 2: Convert to fraction form
    31,494.57/43,462.49 = 17,347.41/x
  3. Step 3: Cross multiply
    31,494.57x = 43,462.49 × 17,347.41
  4. Step 4: Simplify right side
    31,494.57x = 753,961,611.97
  5. Step 5: Solve for x
    x = 753,961,611.97/31,494.57
  6. Step 6: Final answer
    x = 23,939.42

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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.