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Finding the Fourth Proportional to 31,772.41, 43,847.09 and 19,194.73

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Solution

The fourth proportional to 31,772.41, 43,847.09 and 19,194.73 is: 26,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,772.41 : 43,847.09 = 19,194.73 : x
  2. Step 2: Convert to fraction form
    31,772.41/43,847.09 = 19,194.73/x
  3. Step 3: Cross multiply
    31,772.41x = 43,847.09 × 19,194.73
  4. Step 4: Simplify right side
    31,772.41x = 841,632,920.22
  5. Step 5: Solve for x
    x = 841,632,920.22/31,772.41
  6. Step 6: Final answer
    x = 26,489.43

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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.