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Finding the Fourth Proportional to 31,842.48, 43,940.16 and 17,694.08

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Solution

The fourth proportional to 31,842.48, 43,940.16 and 17,694.08 is: 24,416.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,842.48 : 43,940.16 = 17,694.08 : x
  2. Step 2: Convert to fraction form
    31,842.48/43,940.16 = 17,694.08/x
  3. Step 3: Cross multiply
    31,842.48x = 43,940.16 × 17,694.08
  4. Step 4: Simplify right side
    31,842.48x = 777,480,706.25
  5. Step 5: Solve for x
    x = 777,480,706.25/31,842.48
  6. Step 6: Final answer
    x = 24,416.46

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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.