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Finding the Fourth Proportional to 26,550.50, 39,825.75 and 8,082.50

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Solution

The fourth proportional to 26,550.50, 39,825.75 and 8,082.50 is: 12,123.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,550.50 : 39,825.75 = 8,082.50 : x
  2. Step 2: Convert to fraction form
    26,550.50/39,825.75 = 8,082.50/x
  3. Step 3: Cross multiply
    26,550.50x = 39,825.75 × 8,082.50
  4. Step 4: Simplify right side
    26,550.50x = 321,891,624.38
  5. Step 5: Solve for x
    x = 321,891,624.38/26,550.50
  6. Step 6: Final answer
    x = 12,123.75

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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.