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Finding the Fourth Proportional to 31,407.80, 43,342.56 and 17,067.56

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Solution

The fourth proportional to 31,407.80, 43,342.56 and 17,067.56 is: 23,553.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,407.80 : 43,342.56 = 17,067.56 : x
  2. Step 2: Convert to fraction form
    31,407.80/43,342.56 = 17,067.56/x
  3. Step 3: Cross multiply
    31,407.80x = 43,342.56 × 17,067.56
  4. Step 4: Simplify right side
    31,407.80x = 739,751,743.35
  5. Step 5: Solve for x
    x = 739,751,743.35/31,407.80
  6. Step 6: Final answer
    x = 23,553.12

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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.