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Finding the Fourth Proportional to 36,278.25, 54,411.85 and 12,262.24

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Solution

The fourth proportional to 36,278.25, 54,411.85 and 12,262.24 is: 18,391.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,278.25 : 54,411.85 = 12,262.24 : x
  2. Step 2: Convert to fraction form
    36,278.25/54,411.85 = 12,262.24/x
  3. Step 3: Cross multiply
    36,278.25x = 54,411.85 × 12,262.24
  4. Step 4: Simplify right side
    36,278.25x = 667,211,163.54
  5. Step 5: Solve for x
    x = 667,211,163.54/36,278.25
  6. Step 6: Final answer
    x = 18,391.49

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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.