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Finding the Fourth Proportional to 36,865, 50,874.90 and 20,099.08

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Solution

The fourth proportional to 36,865, 50,874.90 and 20,099.08 is: 27,737.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,865 : 50,874.90 = 20,099.08 : x
  2. Step 2: Convert to fraction form
    36,865/50,874.90 = 20,099.08/x
  3. Step 3: Cross multiply
    36,865x = 50,874.90 × 20,099.08
  4. Step 4: Simplify right side
    36,865x = 1,022,538,685.09
  5. Step 5: Solve for x
    x = 1,022,538,685.09/36,865
  6. Step 6: Final answer
    x = 27,737.38

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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.