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Finding the Fourth Proportional to 36,057.42, 49,759.38 and 20,143.08

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Solution

The fourth proportional to 36,057.42, 49,759.38 and 20,143.08 is: 27,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,057.42 : 49,759.38 = 20,143.08 : x
  2. Step 2: Convert to fraction form
    36,057.42/49,759.38 = 20,143.08/x
  3. Step 3: Cross multiply
    36,057.42x = 49,759.38 × 20,143.08
  4. Step 4: Simplify right side
    36,057.42x = 1,002,307,172.09
  5. Step 5: Solve for x
    x = 1,002,307,172.09/36,057.42
  6. Step 6: Final answer
    x = 27,797.53

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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.