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Finding the Fourth Proportional to 33,006.44, 49,508.84 and 9,633.08

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Solution

The fourth proportional to 33,006.44, 49,508.84 and 9,633.08 is: 14,449.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,006.44 : 49,508.84 = 9,633.08 : x
  2. Step 2: Convert to fraction form
    33,006.44/49,508.84 = 9,633.08/x
  3. Step 3: Cross multiply
    33,006.44x = 49,508.84 × 9,633.08
  4. Step 4: Simplify right side
    33,006.44x = 476,922,320.72
  5. Step 5: Solve for x
    x = 476,922,320.72/33,006.44
  6. Step 6: Final answer
    x = 14,449.37

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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.