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Finding the Fourth Proportional to 36,832, 50,828.22 and 20,065

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Solution

The fourth proportional to 36,832, 50,828.22 and 20,065 is: 27,689.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,832 : 50,828.22 = 20,065 : x
  2. Step 2: Convert to fraction form
    36,832/50,828.22 = 20,065/x
  3. Step 3: Cross multiply
    36,832x = 50,828.22 × 20,065
  4. Step 4: Simplify right side
    36,832x = 1,019,868,234.30
  5. Step 5: Solve for x
    x = 1,019,868,234.30/36,832
  6. Step 6: Final answer
    x = 27,689.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.