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Finding the Fourth Proportional to 31,906.68, 44,032.68 and 17,760.44

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Solution

The fourth proportional to 31,906.68, 44,032.68 and 17,760.44 is: 24,510.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,906.68 : 44,032.68 = 17,760.44 : x
  2. Step 2: Convert to fraction form
    31,906.68/44,032.68 = 17,760.44/x
  3. Step 3: Cross multiply
    31,906.68x = 44,032.68 × 17,760.44
  4. Step 4: Simplify right side
    31,906.68x = 782,039,551.02
  5. Step 5: Solve for x
    x = 782,039,551.02/31,906.68
  6. Step 6: Final answer
    x = 24,510.21

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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.