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Finding the Fourth Proportional to 36,489, 50,354.88 and 19,722

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Solution

The fourth proportional to 36,489, 50,354.88 and 19,722 is: 27,216.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,489 : 50,354.88 = 19,722 : x
  2. Step 2: Convert to fraction form
    36,489/50,354.88 = 19,722/x
  3. Step 3: Cross multiply
    36,489x = 50,354.88 × 19,722
  4. Step 4: Simplify right side
    36,489x = 993,098,943.36
  5. Step 5: Solve for x
    x = 993,098,943.36/36,489
  6. Step 6: Final answer
    x = 27,216.39

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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.