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Finding the Fourth Proportional to 31,614.42, 43,627.59 and 17,466.96

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Solution

The fourth proportional to 31,614.42, 43,627.59 and 17,466.96 is: 24,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614.42 : 43,627.59 = 17,466.96 : x
  2. Step 2: Convert to fraction form
    31,614.42/43,627.59 = 17,466.96/x
  3. Step 3: Cross multiply
    31,614.42x = 43,627.59 × 17,466.96
  4. Step 4: Simplify right side
    31,614.42x = 762,041,369.43
  5. Step 5: Solve for x
    x = 762,041,369.43/31,614.42
  6. Step 6: Final answer
    x = 24,104.23

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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.