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Finding the Fourth Proportional to 31,671.41, 43,706.17 and 17,331.09

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Solution

The fourth proportional to 31,671.41, 43,706.17 and 17,331.09 is: 23,916.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671.41 : 43,706.17 = 17,331.09 : x
  2. Step 2: Convert to fraction form
    31,671.41/43,706.17 = 17,331.09/x
  3. Step 3: Cross multiply
    31,671.41x = 43,706.17 × 17,331.09
  4. Step 4: Simplify right side
    31,671.41x = 757,475,260.64
  5. Step 5: Solve for x
    x = 757,475,260.64/31,671.41
  6. Step 6: Final answer
    x = 23,916.69

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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.