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Finding the Fourth Proportional to 20,375.50, 30,563.46 and 8,063.50

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Solution

The fourth proportional to 20,375.50, 30,563.46 and 8,063.50 is: 12,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,375.50 : 30,563.46 = 8,063.50 : x
  2. Step 2: Convert to fraction form
    20,375.50/30,563.46 = 8,063.50/x
  3. Step 3: Cross multiply
    20,375.50x = 30,563.46 × 8,063.50
  4. Step 4: Simplify right side
    20,375.50x = 246,448,459.71
  5. Step 5: Solve for x
    x = 246,448,459.71/20,375.50
  6. Step 6: Final answer
    x = 12,095.33

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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.