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Finding the Fourth Proportional to 31,644.72, 43,671.23 and 17,498.48

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Solution

The fourth proportional to 31,644.72, 43,671.23 and 17,498.48 is: 24,148.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.72 : 43,671.23 = 17,498.48 : x
  2. Step 2: Convert to fraction form
    31,644.72/43,671.23 = 17,498.48/x
  3. Step 3: Cross multiply
    31,644.72x = 43,671.23 × 17,498.48
  4. Step 4: Simplify right side
    31,644.72x = 764,179,838.88
  5. Step 5: Solve for x
    x = 764,179,838.88/31,644.72
  6. Step 6: Final answer
    x = 24,148.73

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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.