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Finding the Fourth Proportional to 47,771.88, 71,552.34 and 29,944.44

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Solution

The fourth proportional to 47,771.88, 71,552.34 and 29,944.44 is: 44,850.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,771.88 : 71,552.34 = 29,944.44 : x
  2. Step 2: Convert to fraction form
    47,771.88/71,552.34 = 29,944.44/x
  3. Step 3: Cross multiply
    47,771.88x = 71,552.34 × 29,944.44
  4. Step 4: Simplify right side
    47,771.88x = 2,142,594,751.99
  5. Step 5: Solve for x
    x = 2,142,594,751.99/47,771.88
  6. Step 6: Final answer
    x = 44,850.54

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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.