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Finding the Fourth Proportional to 36,769.28, 50,742 and 20,002.32

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Solution

The fourth proportional to 36,769.28, 50,742 and 20,002.32 is: 27,603.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,769.28 : 50,742 = 20,002.32 : x
  2. Step 2: Convert to fraction form
    36,769.28/50,742 = 20,002.32/x
  3. Step 3: Cross multiply
    36,769.28x = 50,742 × 20,002.32
  4. Step 4: Simplify right side
    36,769.28x = 1,014,957,721.44
  5. Step 5: Solve for x
    x = 1,014,957,721.44/36,769.28
  6. Step 6: Final answer
    x = 27,603.42

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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.