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Finding the Fourth Proportional to 31,654.96, 43,671.58 and 20,321.44

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Solution

The fourth proportional to 31,654.96, 43,671.58 and 20,321.44 is: 28,035.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,654.96 : 43,671.58 = 20,321.44 : x
  2. Step 2: Convert to fraction form
    31,654.96/43,671.58 = 20,321.44/x
  3. Step 3: Cross multiply
    31,654.96x = 43,671.58 × 20,321.44
  4. Step 4: Simplify right side
    31,654.96x = 887,469,392.68
  5. Step 5: Solve for x
    x = 887,469,392.68/31,654.96
  6. Step 6: Final answer
    x = 28,035.71

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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.