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Finding the Fourth Proportional to 31,194.66, 43,049.25 and 17,048.38

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Solution

The fourth proportional to 31,194.66, 43,049.25 and 17,048.38 is: 23,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,194.66 : 43,049.25 = 17,048.38 : x
  2. Step 2: Convert to fraction form
    31,194.66/43,049.25 = 17,048.38/x
  3. Step 3: Cross multiply
    31,194.66x = 43,049.25 × 17,048.38
  4. Step 4: Simplify right side
    31,194.66x = 733,919,972.72
  5. Step 5: Solve for x
    x = 733,919,972.72/31,194.66
  6. Step 6: Final answer
    x = 23,527.10

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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.