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Finding the Fourth Proportional to 27,745.75, 41,619.84 and 8,026.30

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Solution

The fourth proportional to 27,745.75, 41,619.84 and 8,026.30 is: 12,039.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.75 : 41,619.84 = 8,026.30 : x
  2. Step 2: Convert to fraction form
    27,745.75/41,619.84 = 8,026.30/x
  3. Step 3: Cross multiply
    27,745.75x = 41,619.84 × 8,026.30
  4. Step 4: Simplify right side
    27,745.75x = 334,053,217.74
  5. Step 5: Solve for x
    x = 334,053,217.74/27,745.75
  6. Step 6: Final answer
    x = 12,039.80

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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.