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Finding the Fourth Proportional to 31,842.50, 43,945.41 and 17,696.25

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Solution

The fourth proportional to 31,842.50, 43,945.41 and 17,696.25 is: 24,422.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.50 : 43,945.41 = 17,696.25 : x
  2. Step 2: Convert to fraction form
    31,842.50/43,945.41 = 17,696.25/x
  3. Step 3: Cross multiply
    31,842.50x = 43,945.41 × 17,696.25
  4. Step 4: Simplify right side
    31,842.50x = 777,668,961.71
  5. Step 5: Solve for x
    x = 777,668,961.71/31,842.50
  6. Step 6: Final answer
    x = 24,422.36

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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.