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Finding the Fourth Proportional to 31,664.41, 43,696.90 and 17,519.38

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Solution

The fourth proportional to 31,664.41, 43,696.90 and 17,519.38 is: 24,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,664.41 : 43,696.90 = 17,519.38 : x
  2. Step 2: Convert to fraction form
    31,664.41/43,696.90 = 17,519.38/x
  3. Step 3: Cross multiply
    31,664.41x = 43,696.90 × 17,519.38
  4. Step 4: Simplify right side
    31,664.41x = 765,542,595.92
  5. Step 5: Solve for x
    x = 765,542,595.92/31,664.41
  6. Step 6: Final answer
    x = 24,176.75

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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.