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Finding the Fourth Proportional to 31,708.50, 43,641.21 and 27,181.41

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Solution

The fourth proportional to 31,708.50, 43,641.21 and 27,181.41 is: 37,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,708.50 : 43,641.21 = 27,181.41 : x
  2. Step 2: Convert to fraction form
    31,708.50/43,641.21 = 27,181.41/x
  3. Step 3: Cross multiply
    31,708.50x = 43,641.21 × 27,181.41
  4. Step 4: Simplify right side
    31,708.50x = 1,186,229,560.18
  5. Step 5: Solve for x
    x = 1,186,229,560.18/31,708.50
  6. Step 6: Final answer
    x = 37,410.46

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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.