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Finding the Fourth Proportional to 27,682.43, 41,519.18 and 7,956.50

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Solution

The fourth proportional to 27,682.43, 41,519.18 and 7,956.50 is: 11,933.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,682.43 : 41,519.18 = 7,956.50 : x
  2. Step 2: Convert to fraction form
    27,682.43/41,519.18 = 7,956.50/x
  3. Step 3: Cross multiply
    27,682.43x = 41,519.18 × 7,956.50
  4. Step 4: Simplify right side
    27,682.43x = 330,347,167.97
  5. Step 5: Solve for x
    x = 330,347,167.97/27,682.43
  6. Step 6: Final answer
    x = 11,933.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.