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Finding the Fourth Proportional to 36,494, 50,361.74 and 19,727

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Solution

The fourth proportional to 36,494, 50,361.74 and 19,727 is: 27,223.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,494 : 50,361.74 = 19,727 : x
  2. Step 2: Convert to fraction form
    36,494/50,361.74 = 19,727/x
  3. Step 3: Cross multiply
    36,494x = 50,361.74 × 19,727
  4. Step 4: Simplify right side
    36,494x = 993,486,044.98
  5. Step 5: Solve for x
    x = 993,486,044.98/36,494
  6. Step 6: Final answer
    x = 27,223.27

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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.