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Finding the Fourth Proportional to 27,963.30, 41,932.80 and 9,236.10

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Solution

The fourth proportional to 27,963.30, 41,932.80 and 9,236.10 is: 13,850.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,963.30 : 41,932.80 = 9,236.10 : x
  2. Step 2: Convert to fraction form
    27,963.30/41,932.80 = 9,236.10/x
  3. Step 3: Cross multiply
    27,963.30x = 41,932.80 × 9,236.10
  4. Step 4: Simplify right side
    27,963.30x = 387,295,534.08
  5. Step 5: Solve for x
    x = 387,295,534.08/27,963.30
  6. Step 6: Final answer
    x = 13,850.14

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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.