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Finding the Fourth Proportional to 36,786, 50,764.68 and 20,019

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Solution

The fourth proportional to 36,786, 50,764.68 and 20,019 is: 27,626.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,786 : 50,764.68 = 20,019 : x
  2. Step 2: Convert to fraction form
    36,786/50,764.68 = 20,019/x
  3. Step 3: Cross multiply
    36,786x = 50,764.68 × 20,019
  4. Step 4: Simplify right side
    36,786x = 1,016,258,128.92
  5. Step 5: Solve for x
    x = 1,016,258,128.92/36,786
  6. Step 6: Final answer
    x = 27,626.22

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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.