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Finding the Fourth Proportional to 31,878.38, 43,992.05 and 17,731.23

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Solution

The fourth proportional to 31,878.38, 43,992.05 and 17,731.23 is: 24,469.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.38 : 43,992.05 = 17,731.23 : x
  2. Step 2: Convert to fraction form
    31,878.38/43,992.05 = 17,731.23/x
  3. Step 3: Cross multiply
    31,878.38x = 43,992.05 × 17,731.23
  4. Step 4: Simplify right side
    31,878.38x = 780,032,969.59
  5. Step 5: Solve for x
    x = 780,032,969.59/31,878.38
  6. Step 6: Final answer
    x = 24,469.03

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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.