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Finding the Fourth Proportional to 38,067.84, 52,519.68 and 27,434.88

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Solution

The fourth proportional to 38,067.84, 52,519.68 and 27,434.88 is: 37,850.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,067.84 : 52,519.68 = 27,434.88 : x
  2. Step 2: Convert to fraction form
    38,067.84/52,519.68 = 27,434.88/x
  3. Step 3: Cross multiply
    38,067.84x = 52,519.68 × 27,434.88
  4. Step 4: Simplify right side
    38,067.84x = 1,440,871,118.44
  5. Step 5: Solve for x
    x = 1,440,871,118.44/38,067.84
  6. Step 6: Final answer
    x = 37,850.09

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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.