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Finding the Fourth Proportional to 31,630.50, 43,646.31 and 17,481.42

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Solution

The fourth proportional to 31,630.50, 43,646.31 and 17,481.42 is: 24,122.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,630.50 : 43,646.31 = 17,481.42 : x
  2. Step 2: Convert to fraction form
    31,630.50/43,646.31 = 17,481.42/x
  3. Step 3: Cross multiply
    31,630.50x = 43,646.31 × 17,481.42
  4. Step 4: Simplify right side
    31,630.50x = 762,999,476.56
  5. Step 5: Solve for x
    x = 762,999,476.56/31,630.50
  6. Step 6: Final answer
    x = 24,122.27

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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.