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Finding the Fourth Proportional to 31,412.40, 43,351.92 and 17,268.24

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Solution

The fourth proportional to 31,412.40, 43,351.92 and 17,268.24 is: 23,831.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,412.40 : 43,351.92 = 17,268.24 : x
  2. Step 2: Convert to fraction form
    31,412.40/43,351.92 = 17,268.24/x
  3. Step 3: Cross multiply
    31,412.40x = 43,351.92 × 17,268.24
  4. Step 4: Simplify right side
    31,412.40x = 748,611,359.02
  5. Step 5: Solve for x
    x = 748,611,359.02/31,412.40
  6. Step 6: Final answer
    x = 23,831.71

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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.