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Finding the Fourth Proportional to 33,128.80, 49,694.40 and 9,757.60

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Solution

The fourth proportional to 33,128.80, 49,694.40 and 9,757.60 is: 14,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,128.80 : 49,694.40 = 9,757.60 : x
  2. Step 2: Convert to fraction form
    33,128.80/49,694.40 = 9,757.60/x
  3. Step 3: Cross multiply
    33,128.80x = 49,694.40 × 9,757.60
  4. Step 4: Simplify right side
    33,128.80x = 484,898,077.44
  5. Step 5: Solve for x
    x = 484,898,077.44/33,128.80
  6. Step 6: Final answer
    x = 14,636.75

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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.