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Finding the Fourth Proportional to 33,729.20, 50,464.20 and 22,065.20

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Solution

The fourth proportional to 33,729.20, 50,464.20 and 22,065.20 is: 33,013.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,729.20 : 50,464.20 = 22,065.20 : x
  2. Step 2: Convert to fraction form
    33,729.20/50,464.20 = 22,065.20/x
  3. Step 3: Cross multiply
    33,729.20x = 50,464.20 × 22,065.20
  4. Step 4: Simplify right side
    33,729.20x = 1,113,502,665.84
  5. Step 5: Solve for x
    x = 1,113,502,665.84/33,729.20
  6. Step 6: Final answer
    x = 33,013.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.