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Finding the Fourth Proportional to 27,947.16, 41,924.91 and 9,229.19

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Solution

The fourth proportional to 27,947.16, 41,924.91 and 9,229.19 is: 13,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,947.16 : 41,924.91 = 9,229.19 : x
  2. Step 2: Convert to fraction form
    27,947.16/41,924.91 = 9,229.19/x
  3. Step 3: Cross multiply
    27,947.16x = 41,924.91 × 9,229.19
  4. Step 4: Simplify right side
    27,947.16x = 386,932,750.50
  5. Step 5: Solve for x
    x = 386,932,750.50/27,947.16
  6. Step 6: Final answer
    x = 13,845.15

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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.