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Finding the Fourth Proportional to 31,067.86, 42,874.14 and 17,638.84

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Solution

The fourth proportional to 31,067.86, 42,874.14 and 17,638.84 is: 24,341.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,067.86 : 42,874.14 = 17,638.84 : x
  2. Step 2: Convert to fraction form
    31,067.86/42,874.14 = 17,638.84/x
  3. Step 3: Cross multiply
    31,067.86x = 42,874.14 × 17,638.84
  4. Step 4: Simplify right side
    31,067.86x = 756,250,095.60
  5. Step 5: Solve for x
    x = 756,250,095.60/31,067.86
  6. Step 6: Final answer
    x = 24,341.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.