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Finding the Fourth Proportional to 31,772.88, 43,847.00 and 17,431.80

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Solution

The fourth proportional to 31,772.88, 43,847.00 and 17,431.80 is: 24,056.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.88 : 43,847.00 = 17,431.80 : x
  2. Step 2: Convert to fraction form
    31,772.88/43,847.00 = 17,431.80/x
  3. Step 3: Cross multiply
    31,772.88x = 43,847.00 × 17,431.80
  4. Step 4: Simplify right side
    31,772.88x = 764,332,047.44
  5. Step 5: Solve for x
    x = 764,332,047.44/31,772.88
  6. Step 6: Final answer
    x = 24,056.11

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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.