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Finding the Fourth Proportional to 31,686.11, 43,713.19 and 18,249.38

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Solution

The fourth proportional to 31,686.11, 43,713.19 and 18,249.38 is: 25,176.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,686.11 : 43,713.19 = 18,249.38 : x
  2. Step 2: Convert to fraction form
    31,686.11/43,713.19 = 18,249.38/x
  3. Step 3: Cross multiply
    31,686.11x = 43,713.19 × 18,249.38
  4. Step 4: Simplify right side
    31,686.11x = 797,738,615.32
  5. Step 5: Solve for x
    x = 797,738,615.32/31,686.11
  6. Step 6: Final answer
    x = 25,176.29

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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.