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Finding the Fourth Proportional to 47,745.64, 71,267.99 and 44,227

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Solution

The fourth proportional to 47,745.64, 71,267.99 and 44,227 is: 66,015.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,745.64 : 71,267.99 = 44,227 : x
  2. Step 2: Convert to fraction form
    47,745.64/71,267.99 = 44,227/x
  3. Step 3: Cross multiply
    47,745.64x = 71,267.99 × 44,227
  4. Step 4: Simplify right side
    47,745.64x = 3,151,969,393.73
  5. Step 5: Solve for x
    x = 3,151,969,393.73/47,745.64
  6. Step 6: Final answer
    x = 66,015.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.