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Finding the Fourth Proportional to 36,105, 49,824.48 and 20,189.31

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Solution

The fourth proportional to 36,105, 49,824.48 and 20,189.31 is: 27,861.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,105 : 49,824.48 = 20,189.31 : x
  2. Step 2: Convert to fraction form
    36,105/49,824.48 = 20,189.31/x
  3. Step 3: Cross multiply
    36,105x = 49,824.48 × 20,189.31
  4. Step 4: Simplify right side
    36,105x = 1,005,921,872.31
  5. Step 5: Solve for x
    x = 1,005,921,872.31/36,105
  6. Step 6: Final answer
    x = 27,861.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.