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Finding the Fourth Proportional to 27,471.72, 41,205.31 and 8,751.00

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Solution

The fourth proportional to 27,471.72, 41,205.31 and 8,751.00 is: 13,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,471.72 : 41,205.31 = 8,751.00 : x
  2. Step 2: Convert to fraction form
    27,471.72/41,205.31 = 8,751.00/x
  3. Step 3: Cross multiply
    27,471.72x = 41,205.31 × 8,751.00
  4. Step 4: Simplify right side
    27,471.72x = 360,587,800.45
  5. Step 5: Solve for x
    x = 360,587,800.45/27,471.72
  6. Step 6: Final answer
    x = 13,125.78

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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.