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Finding the Fourth Proportional to 27,951.30, 41,914.80 and 9,224.10

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Solution

The fourth proportional to 27,951.30, 41,914.80 and 9,224.10 is: 13,832.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,951.30 : 41,914.80 = 9,224.10 : x
  2. Step 2: Convert to fraction form
    27,951.30/41,914.80 = 9,224.10/x
  3. Step 3: Cross multiply
    27,951.30x = 41,914.80 × 9,224.10
  4. Step 4: Simplify right side
    27,951.30x = 386,626,306.68
  5. Step 5: Solve for x
    x = 386,626,306.68/27,951.30
  6. Step 6: Final answer
    x = 13,832.14

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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.