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Finding the Fourth Proportional to 47,504.40, 71,179.80 and 29,942.80

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Solution

The fourth proportional to 47,504.40, 71,179.80 and 29,942.80 is: 44,865.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,504.40 : 71,179.80 = 29,942.80 : x
  2. Step 2: Convert to fraction form
    47,504.40/71,179.80 = 29,942.80/x
  3. Step 3: Cross multiply
    47,504.40x = 71,179.80 × 29,942.80
  4. Step 4: Simplify right side
    47,504.40x = 2,131,322,515.44
  5. Step 5: Solve for x
    x = 2,131,322,515.44/47,504.40
  6. Step 6: Final answer
    x = 44,865.79

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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.