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Finding the Fourth Proportional to 36,723, 50,677.74 and 19,956

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Solution

The fourth proportional to 36,723, 50,677.74 and 19,956 is: 27,539.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,723 : 50,677.74 = 19,956 : x
  2. Step 2: Convert to fraction form
    36,723/50,677.74 = 19,956/x
  3. Step 3: Cross multiply
    36,723x = 50,677.74 × 19,956
  4. Step 4: Simplify right side
    36,723x = 1,011,324,979.44
  5. Step 5: Solve for x
    x = 1,011,324,979.44/36,723
  6. Step 6: Final answer
    x = 27,539.28

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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.