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Finding the Fourth Proportional to 27,772.56, 41,650.20 and 8,052.48

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Solution

The fourth proportional to 27,772.56, 41,650.20 and 8,052.48 is: 12,076.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.56 : 41,650.20 = 8,052.48 : x
  2. Step 2: Convert to fraction form
    27,772.56/41,650.20 = 8,052.48/x
  3. Step 3: Cross multiply
    27,772.56x = 41,650.20 × 8,052.48
  4. Step 4: Simplify right side
    27,772.56x = 335,387,402.50
  5. Step 5: Solve for x
    x = 335,387,402.50/27,772.56
  6. Step 6: Final answer
    x = 12,076.21

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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.