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Finding the Fourth Proportional to 36,769, 50,741.34 and 20,002

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Solution

The fourth proportional to 36,769, 50,741.34 and 20,002 is: 27,602.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,769 : 50,741.34 = 20,002 : x
  2. Step 2: Convert to fraction form
    36,769/50,741.34 = 20,002/x
  3. Step 3: Cross multiply
    36,769x = 50,741.34 × 20,002
  4. Step 4: Simplify right side
    36,769x = 1,014,928,282.68
  5. Step 5: Solve for x
    x = 1,014,928,282.68/36,769
  6. Step 6: Final answer
    x = 27,602.83

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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.