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Finding the Fourth Proportional to 20,080.50, 30,121.02 and 6,229.50

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Solution

The fourth proportional to 20,080.50, 30,121.02 and 6,229.50 is: 9,344.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,080.50 : 30,121.02 = 6,229.50 : x
  2. Step 2: Convert to fraction form
    20,080.50/30,121.02 = 6,229.50/x
  3. Step 3: Cross multiply
    20,080.50x = 30,121.02 × 6,229.50
  4. Step 4: Simplify right side
    20,080.50x = 187,638,894.09
  5. Step 5: Solve for x
    x = 187,638,894.09/20,080.50
  6. Step 6: Final answer
    x = 9,344.33

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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.