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Finding the Fourth Proportional to 27,808.54, 41,705.52 and 8,081.80

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Solution

The fourth proportional to 27,808.54, 41,705.52 and 8,081.80 is: 12,120.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,808.54 : 41,705.52 = 8,081.80 : x
  2. Step 2: Convert to fraction form
    27,808.54/41,705.52 = 8,081.80/x
  3. Step 3: Cross multiply
    27,808.54x = 41,705.52 × 8,081.80
  4. Step 4: Simplify right side
    27,808.54x = 337,055,671.54
  5. Step 5: Solve for x
    x = 337,055,671.54/27,808.54
  6. Step 6: Final answer
    x = 12,120.58

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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.