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Finding the Fourth Proportional to 47,067, 64,958.22 and 27,195

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Solution

The fourth proportional to 47,067, 64,958.22 and 27,195 is: 37,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,067 : 64,958.22 = 27,195 : x
  2. Step 2: Convert to fraction form
    47,067/64,958.22 = 27,195/x
  3. Step 3: Cross multiply
    47,067x = 64,958.22 × 27,195
  4. Step 4: Simplify right side
    47,067x = 1,766,538,792.90
  5. Step 5: Solve for x
    x = 1,766,538,792.90/47,067
  6. Step 6: Final answer
    x = 37,532.43

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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.