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Finding the Fourth Proportional to 36,322, 50,112.84 and 22,167.76

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Solution

The fourth proportional to 36,322, 50,112.84 and 22,167.76 is: 30,584.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,322 : 50,112.84 = 22,167.76 : x
  2. Step 2: Convert to fraction form
    36,322/50,112.84 = 22,167.76/x
  3. Step 3: Cross multiply
    36,322x = 50,112.84 × 22,167.76
  4. Step 4: Simplify right side
    36,322x = 1,110,889,410.04
  5. Step 5: Solve for x
    x = 1,110,889,410.04/36,322
  6. Step 6: Final answer
    x = 30,584.48

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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.