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Finding the Fourth Proportional to 31,627.92, 43,646.22 and 17,480.46

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Solution

The fourth proportional to 31,627.92, 43,646.22 and 17,480.46 is: 24,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,627.92 : 43,646.22 = 17,480.46 : x
  2. Step 2: Convert to fraction form
    31,627.92/43,646.22 = 17,480.46/x
  3. Step 3: Cross multiply
    31,627.92x = 43,646.22 × 17,480.46
  4. Step 4: Simplify right side
    31,627.92x = 762,956,002.86
  5. Step 5: Solve for x
    x = 762,956,002.86/31,627.92
  6. Step 6: Final answer
    x = 24,122.86

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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.