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Finding the Fourth Proportional to 31,471.76, 43,429.36 and 17,321.88

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Solution

The fourth proportional to 31,471.76, 43,429.36 and 17,321.88 is: 23,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.76 : 43,429.36 = 17,321.88 : x
  2. Step 2: Convert to fraction form
    31,471.76/43,429.36 = 17,321.88/x
  3. Step 3: Cross multiply
    31,471.76x = 43,429.36 × 17,321.88
  4. Step 4: Simplify right side
    31,471.76x = 752,278,162.40
  5. Step 5: Solve for x
    x = 752,278,162.40/31,471.76
  6. Step 6: Final answer
    x = 23,903.28

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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.