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Finding the Fourth Proportional to 29,696.50, 40,979.97 and 17,766.43

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Solution

The fourth proportional to 29,696.50, 40,979.97 and 17,766.43 is: 24,516.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,696.50 : 40,979.97 = 17,766.43 : x
  2. Step 2: Convert to fraction form
    29,696.50/40,979.97 = 17,766.43/x
  3. Step 3: Cross multiply
    29,696.50x = 40,979.97 × 17,766.43
  4. Step 4: Simplify right side
    29,696.50x = 728,067,768.41
  5. Step 5: Solve for x
    x = 728,067,768.41/29,696.50
  6. Step 6: Final answer
    x = 24,516.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.