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Finding the Fourth Proportional to 36,567, 50,462.46 and 19,800

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Solution

The fourth proportional to 36,567, 50,462.46 and 19,800 is: 27,324

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,567 : 50,462.46 = 19,800 : x
  2. Step 2: Convert to fraction form
    36,567/50,462.46 = 19,800/x
  3. Step 3: Cross multiply
    36,567x = 50,462.46 × 19,800
  4. Step 4: Simplify right side
    36,567x = 999,156,708
  5. Step 5: Solve for x
    x = 999,156,708/36,567
  6. Step 6: Final answer
    x = 27,324

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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.