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Finding the Fourth Proportional to 28,813.50, 43,227.54 and 8,037

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Solution

The fourth proportional to 28,813.50, 43,227.54 and 8,037 is: 12,057.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,813.50 : 43,227.54 = 8,037 : x
  2. Step 2: Convert to fraction form
    28,813.50/43,227.54 = 8,037/x
  3. Step 3: Cross multiply
    28,813.50x = 43,227.54 × 8,037
  4. Step 4: Simplify right side
    28,813.50x = 347,419,738.98
  5. Step 5: Solve for x
    x = 347,419,738.98/28,813.50
  6. Step 6: Final answer
    x = 12,057.53

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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.