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Finding the Fourth Proportional to 33,147.80, 49,704.60 and 9,771.20

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Solution

The fourth proportional to 33,147.80, 49,704.60 and 9,771.20 is: 14,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,147.80 : 49,704.60 = 9,771.20 : x
  2. Step 2: Convert to fraction form
    33,147.80/49,704.60 = 9,771.20/x
  3. Step 3: Cross multiply
    33,147.80x = 49,704.60 × 9,771.20
  4. Step 4: Simplify right side
    33,147.80x = 485,673,587.52
  5. Step 5: Solve for x
    x = 485,673,587.52/33,147.80
  6. Step 6: Final answer
    x = 14,651.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.