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Finding the Fourth Proportional to 27,226.46, 40,813.77 and 8,745.50

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Solution

The fourth proportional to 27,226.46, 40,813.77 and 8,745.50 is: 13,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,226.46 : 40,813.77 = 8,745.50 : x
  2. Step 2: Convert to fraction form
    27,226.46/40,813.77 = 8,745.50/x
  3. Step 3: Cross multiply
    27,226.46x = 40,813.77 × 8,745.50
  4. Step 4: Simplify right side
    27,226.46x = 356,936,825.54
  5. Step 5: Solve for x
    x = 356,936,825.54/27,226.46
  6. Step 6: Final answer
    x = 13,109.92

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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.