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Finding the Fourth Proportional to 31,933.48, 44,067.62 and 17,786.02

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Solution

The fourth proportional to 31,933.48, 44,067.62 and 17,786.02 is: 24,544.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,933.48 : 44,067.62 = 17,786.02 : x
  2. Step 2: Convert to fraction form
    31,933.48/44,067.62 = 17,786.02/x
  3. Step 3: Cross multiply
    31,933.48x = 44,067.62 × 17,786.02
  4. Step 4: Simplify right side
    31,933.48x = 783,787,504.97
  5. Step 5: Solve for x
    x = 783,787,504.97/31,933.48
  6. Step 6: Final answer
    x = 24,544.38

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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.