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Finding the Fourth Proportional to 32,020.25, 44,192.39 and 17,874

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Solution

The fourth proportional to 32,020.25, 44,192.39 and 17,874 is: 24,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,020.25 : 44,192.39 = 17,874 : x
  2. Step 2: Convert to fraction form
    32,020.25/44,192.39 = 17,874/x
  3. Step 3: Cross multiply
    32,020.25x = 44,192.39 × 17,874
  4. Step 4: Simplify right side
    32,020.25x = 789,894,689.49
  5. Step 5: Solve for x
    x = 789,894,689.49/32,020.25
  6. Step 6: Final answer
    x = 24,668.60

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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.