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Finding the Fourth Proportional to 27,552.75, 41,333.02 and 8,828.41

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Solution

The fourth proportional to 27,552.75, 41,333.02 and 8,828.41 is: 13,243.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,552.75 : 41,333.02 = 8,828.41 : x
  2. Step 2: Convert to fraction form
    27,552.75/41,333.02 = 8,828.41/x
  3. Step 3: Cross multiply
    27,552.75x = 41,333.02 × 8,828.41
  4. Step 4: Simplify right side
    27,552.75x = 364,904,847.10
  5. Step 5: Solve for x
    x = 364,904,847.10/27,552.75
  6. Step 6: Final answer
    x = 13,243.86

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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.