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Finding the Fourth Proportional to 33,077.00, 49,616.30 and 9,704.18

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Solution

The fourth proportional to 33,077.00, 49,616.30 and 9,704.18 is: 14,556.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,077.00 : 49,616.30 = 9,704.18 : x
  2. Step 2: Convert to fraction form
    33,077.00/49,616.30 = 9,704.18/x
  3. Step 3: Cross multiply
    33,077.00x = 49,616.30 × 9,704.18
  4. Step 4: Simplify right side
    33,077.00x = 481,485,282.31
  5. Step 5: Solve for x
    x = 481,485,282.31/33,077.00
  6. Step 6: Final answer
    x = 14,556.50

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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.