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Finding the Fourth Proportional to 36,674, 50,610 and 19,907

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Solution

The fourth proportional to 36,674, 50,610 and 19,907 is: 27,471.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,674 : 50,610 = 19,907 : x
  2. Step 2: Convert to fraction form
    36,674/50,610 = 19,907/x
  3. Step 3: Cross multiply
    36,674x = 50,610 × 19,907
  4. Step 4: Simplify right side
    36,674x = 1,007,493,270
  5. Step 5: Solve for x
    x = 1,007,493,270/36,674
  6. Step 6: Final answer
    x = 27,471.59

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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.