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Finding the Fourth Proportional to 31,638.50, 43,657.34 and 17,489.42

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Solution

The fourth proportional to 31,638.50, 43,657.34 and 17,489.42 is: 24,133.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,638.50 : 43,657.34 = 17,489.42 : x
  2. Step 2: Convert to fraction form
    31,638.50/43,657.34 = 17,489.42/x
  3. Step 3: Cross multiply
    31,638.50x = 43,657.34 × 17,489.42
  4. Step 4: Simplify right side
    31,638.50x = 763,541,555.34
  5. Step 5: Solve for x
    x = 763,541,555.34/31,638.50
  6. Step 6: Final answer
    x = 24,133.30

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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.