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Finding the Fourth Proportional to 20,546.92, 30,806.46 and 8,059.12

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Solution

The fourth proportional to 20,546.92, 30,806.46 and 8,059.12 is: 12,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,546.92 : 30,806.46 = 8,059.12 : x
  2. Step 2: Convert to fraction form
    20,546.92/30,806.46 = 8,059.12/x
  3. Step 3: Cross multiply
    20,546.92x = 30,806.46 × 8,059.12
  4. Step 4: Simplify right side
    20,546.92x = 248,272,957.92
  5. Step 5: Solve for x
    x = 248,272,957.92/20,546.92
  6. Step 6: Final answer
    x = 12,083.22

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1.5x scale

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.