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Finding the Fourth Proportional to 27,442.50, 41,163.12 and 12,651.39

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Solution

The fourth proportional to 27,442.50, 41,163.12 and 12,651.39 is: 18,976.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,442.50 : 41,163.12 = 12,651.39 : x
  2. Step 2: Convert to fraction form
    27,442.50/41,163.12 = 12,651.39/x
  3. Step 3: Cross multiply
    27,442.50x = 41,163.12 × 12,651.39
  4. Step 4: Simplify right side
    27,442.50x = 520,770,684.74
  5. Step 5: Solve for x
    x = 520,770,684.74/27,442.50
  6. Step 6: Final answer
    x = 18,976.80

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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.