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Finding the Fourth Proportional to 31,671.49, 43,706.31 and 17,524.44

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Solution

The fourth proportional to 31,671.49, 43,706.31 and 17,524.44 is: 24,183.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,671.49 : 43,706.31 = 17,524.44 : x
  2. Step 2: Convert to fraction form
    31,671.49/43,706.31 = 17,524.44/x
  3. Step 3: Cross multiply
    31,671.49x = 43,706.31 × 17,524.44
  4. Step 4: Simplify right side
    31,671.49x = 765,928,607.22
  5. Step 5: Solve for x
    x = 765,928,607.22/31,671.49
  6. Step 6: Final answer
    x = 24,183.54

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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.