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Finding the Fourth Proportional to 36,164.28, 49,912.02 and 22,014.48

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Solution

The fourth proportional to 36,164.28, 49,912.02 and 22,014.48 is: 30,383.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,164.28 : 49,912.02 = 22,014.48 : x
  2. Step 2: Convert to fraction form
    36,164.28/49,912.02 = 22,014.48/x
  3. Step 3: Cross multiply
    36,164.28x = 49,912.02 × 22,014.48
  4. Step 4: Simplify right side
    36,164.28x = 1,098,787,166.05
  5. Step 5: Solve for x
    x = 1,098,787,166.05/36,164.28
  6. Step 6: Final answer
    x = 30,383.22

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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.