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Finding the Fourth Proportional to 36,764, 50,734.38 and 19,997

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Solution

The fourth proportional to 36,764, 50,734.38 and 19,997 is: 27,595.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,764 : 50,734.38 = 19,997 : x
  2. Step 2: Convert to fraction form
    36,764/50,734.38 = 19,997/x
  3. Step 3: Cross multiply
    36,764x = 50,734.38 × 19,997
  4. Step 4: Simplify right side
    36,764x = 1,014,535,396.86
  5. Step 5: Solve for x
    x = 1,014,535,396.86/36,764
  6. Step 6: Final answer
    x = 27,595.89

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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.