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Finding the Fourth Proportional to 33,006.69, 49,509.21 and 9,633.33

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Solution

The fourth proportional to 33,006.69, 49,509.21 and 9,633.33 is: 14,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.69 : 49,509.21 = 9,633.33 : x
  2. Step 2: Convert to fraction form
    33,006.69/49,509.21 = 9,633.33/x
  3. Step 3: Cross multiply
    33,006.69x = 49,509.21 × 9,633.33
  4. Step 4: Simplify right side
    33,006.69x = 476,938,557.97
  5. Step 5: Solve for x
    x = 476,938,557.97/33,006.69
  6. Step 6: Final answer
    x = 14,449.75

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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.