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Finding the Fourth Proportional to 20,021.44, 30,033.24 and 5,230.40

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Solution

The fourth proportional to 20,021.44, 30,033.24 and 5,230.40 is: 7,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,021.44 : 30,033.24 = 5,230.40 : x
  2. Step 2: Convert to fraction form
    20,021.44/30,033.24 = 5,230.40/x
  3. Step 3: Cross multiply
    20,021.44x = 30,033.24 × 5,230.40
  4. Step 4: Simplify right side
    20,021.44x = 157,085,858.50
  5. Step 5: Solve for x
    x = 157,085,858.50/20,021.44
  6. Step 6: Final answer
    x = 7,845.88

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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.