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Finding the Fourth Proportional to 36,331.92, 50,137.38 and 20,416.14

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Solution

The fourth proportional to 36,331.92, 50,137.38 and 20,416.14 is: 28,173.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,331.92 : 50,137.38 = 20,416.14 : x
  2. Step 2: Convert to fraction form
    36,331.92/50,137.38 = 20,416.14/x
  3. Step 3: Cross multiply
    36,331.92x = 50,137.38 × 20,416.14
  4. Step 4: Simplify right side
    36,331.92x = 1,023,611,769.31
  5. Step 5: Solve for x
    x = 1,023,611,769.31/36,331.92
  6. Step 6: Final answer
    x = 28,173.90

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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.