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Finding the Fourth Proportional to 36,760, 50,728.86 and 19,993

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Solution

The fourth proportional to 36,760, 50,728.86 and 19,993 is: 27,590.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,760 : 50,728.86 = 19,993 : x
  2. Step 2: Convert to fraction form
    36,760/50,728.86 = 19,993/x
  3. Step 3: Cross multiply
    36,760x = 50,728.86 × 19,993
  4. Step 4: Simplify right side
    36,760x = 1,014,222,097.98
  5. Step 5: Solve for x
    x = 1,014,222,097.98/36,760
  6. Step 6: Final answer
    x = 27,590.37

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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.