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Finding the Fourth Proportional to 36,469, 50,327.26 and 19,702

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Solution

The fourth proportional to 36,469, 50,327.26 and 19,702 is: 27,188.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,469 : 50,327.26 = 19,702 : x
  2. Step 2: Convert to fraction form
    36,469/50,327.26 = 19,702/x
  3. Step 3: Cross multiply
    36,469x = 50,327.26 × 19,702
  4. Step 4: Simplify right side
    36,469x = 991,547,676.52
  5. Step 5: Solve for x
    x = 991,547,676.52/36,469
  6. Step 6: Final answer
    x = 27,188.78

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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.