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Finding the Fourth Proportional to 36,334.26, 50,120.75 and 22,882.38

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Solution

The fourth proportional to 36,334.26, 50,120.75 and 22,882.38 is: 31,564.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,334.26 : 50,120.75 = 22,882.38 : x
  2. Step 2: Convert to fraction form
    36,334.26/50,120.75 = 22,882.38/x
  3. Step 3: Cross multiply
    36,334.26x = 50,120.75 × 22,882.38
  4. Step 4: Simplify right side
    36,334.26x = 1,146,882,047.39
  5. Step 5: Solve for x
    x = 1,146,882,047.39/36,334.26
  6. Step 6: Final answer
    x = 31,564.76

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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.