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Finding the Fourth Proportional to 27,620.80, 41,431.20 and 9,152.80

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Solution

The fourth proportional to 27,620.80, 41,431.20 and 9,152.80 is: 13,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,620.80 : 41,431.20 = 9,152.80 : x
  2. Step 2: Convert to fraction form
    27,620.80/41,431.20 = 9,152.80/x
  3. Step 3: Cross multiply
    27,620.80x = 41,431.20 × 9,152.80
  4. Step 4: Simplify right side
    27,620.80x = 379,211,487.36
  5. Step 5: Solve for x
    x = 379,211,487.36/27,620.80
  6. Step 6: Final answer
    x = 13,729.20

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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.