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Finding the Fourth Proportional to 31,471.16, 43,429.74 and 17,323.64

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Solution

The fourth proportional to 31,471.16, 43,429.74 and 17,323.64 is: 23,906.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.16 : 43,429.74 = 17,323.64 : x
  2. Step 2: Convert to fraction form
    31,471.16/43,429.74 = 17,323.64/x
  3. Step 3: Cross multiply
    31,471.16x = 43,429.74 × 17,323.64
  4. Step 4: Simplify right side
    31,471.16x = 752,361,181.05
  5. Step 5: Solve for x
    x = 752,361,181.05/31,471.16
  6. Step 6: Final answer
    x = 23,906.37

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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.