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Finding the Fourth Proportional to 33,133.26, 49,698.09 and 9,759.90

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Solution

The fourth proportional to 33,133.26, 49,698.09 and 9,759.90 is: 14,639.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,133.26 : 49,698.09 = 9,759.90 : x
  2. Step 2: Convert to fraction form
    33,133.26/49,698.09 = 9,759.90/x
  3. Step 3: Cross multiply
    33,133.26x = 49,698.09 × 9,759.90
  4. Step 4: Simplify right side
    33,133.26x = 485,048,388.59
  5. Step 5: Solve for x
    x = 485,048,388.59/33,133.26
  6. Step 6: Final answer
    x = 14,639.32

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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.