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Finding the Fourth Proportional to 31,996.38, 44,162.91 and 19,431.66

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Solution

The fourth proportional to 31,996.38, 44,162.91 and 19,431.66 is: 26,820.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996.38 : 44,162.91 = 19,431.66 : x
  2. Step 2: Convert to fraction form
    31,996.38/44,162.91 = 19,431.66/x
  3. Step 3: Cross multiply
    31,996.38x = 44,162.91 × 19,431.66
  4. Step 4: Simplify right side
    31,996.38x = 858,158,651.73
  5. Step 5: Solve for x
    x = 858,158,651.73/31,996.38
  6. Step 6: Final answer
    x = 26,820.49

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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.