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Finding the Fourth Proportional to 49,524.27, 74,279.07 and 16,247.85

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Solution

The fourth proportional to 49,524.27, 74,279.07 and 16,247.85 is: 24,369.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,524.27 : 74,279.07 = 16,247.85 : x
  2. Step 2: Convert to fraction form
    49,524.27/74,279.07 = 16,247.85/x
  3. Step 3: Cross multiply
    49,524.27x = 74,279.07 × 16,247.85
  4. Step 4: Simplify right side
    49,524.27x = 1,206,875,187.50
  5. Step 5: Solve for x
    x = 1,206,875,187.50/49,524.27
  6. Step 6: Final answer
    x = 24,369.37

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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.