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Finding the Fourth Proportional to 27,963.63, 41,932.89 and 8,235.27

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Solution

The fourth proportional to 27,963.63, 41,932.89 and 8,235.27 is: 12,349.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963.63 : 41,932.89 = 8,235.27 : x
  2. Step 2: Convert to fraction form
    27,963.63/41,932.89 = 8,235.27/x
  3. Step 3: Cross multiply
    27,963.63x = 41,932.89 × 8,235.27
  4. Step 4: Simplify right side
    27,963.63x = 345,328,671.03
  5. Step 5: Solve for x
    x = 345,328,671.03/27,963.63
  6. Step 6: Final answer
    x = 12,349.21

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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.