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Finding the Fourth Proportional to 31,456.92, 43,409.40 and 17,309.46

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Solution

The fourth proportional to 31,456.92, 43,409.40 and 17,309.46 is: 23,886.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,456.92 : 43,409.40 = 17,309.46 : x
  2. Step 2: Convert to fraction form
    31,456.92/43,409.40 = 17,309.46/x
  3. Step 3: Cross multiply
    31,456.92x = 43,409.40 × 17,309.46
  4. Step 4: Simplify right side
    31,456.92x = 751,393,272.92
  5. Step 5: Solve for x
    x = 751,393,272.92/31,456.92
  6. Step 6: Final answer
    x = 23,886.42

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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.