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Finding the Fourth Proportional to 36,741.78, 50,703.99 and 19,974.78

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Solution

The fourth proportional to 36,741.78, 50,703.99 and 19,974.78 is: 27,565.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,741.78 : 50,703.99 = 19,974.78 : x
  2. Step 2: Convert to fraction form
    36,741.78/50,703.99 = 19,974.78/x
  3. Step 3: Cross multiply
    36,741.78x = 50,703.99 × 19,974.78
  4. Step 4: Simplify right side
    36,741.78x = 1,012,801,045.37
  5. Step 5: Solve for x
    x = 1,012,801,045.37/36,741.78
  6. Step 6: Final answer
    x = 27,565.38

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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.