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Finding the Fourth Proportional to 27,952.47, 41,933.12 and 8,228.43

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Solution

The fourth proportional to 27,952.47, 41,933.12 and 8,228.43 is: 12,343.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.47 : 41,933.12 = 8,228.43 : x
  2. Step 2: Convert to fraction form
    27,952.47/41,933.12 = 8,228.43/x
  3. Step 3: Cross multiply
    27,952.47x = 41,933.12 × 8,228.43
  4. Step 4: Simplify right side
    27,952.47x = 345,043,701.46
  5. Step 5: Solve for x
    x = 345,043,701.46/27,952.47
  6. Step 6: Final answer
    x = 12,343.94

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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.