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Finding the Fourth Proportional to 31,327.14, 43,231.14 and 17,180.22

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Solution

The fourth proportional to 31,327.14, 43,231.14 and 17,180.22 is: 23,708.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,327.14 : 43,231.14 = 17,180.22 : x
  2. Step 2: Convert to fraction form
    31,327.14/43,231.14 = 17,180.22/x
  3. Step 3: Cross multiply
    31,327.14x = 43,231.14 × 17,180.22
  4. Step 4: Simplify right side
    31,327.14x = 742,720,496.05
  5. Step 5: Solve for x
    x = 742,720,496.05/31,327.14
  6. Step 6: Final answer
    x = 23,708.53

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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.