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Finding the Fourth Proportional to 33,242.69, 49,863.64 and 9,550.82

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Solution

The fourth proportional to 33,242.69, 49,863.64 and 9,550.82 is: 14,326.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,242.69 : 49,863.64 = 9,550.82 : x
  2. Step 2: Convert to fraction form
    33,242.69/49,863.64 = 9,550.82/x
  3. Step 3: Cross multiply
    33,242.69x = 49,863.64 × 9,550.82
  4. Step 4: Simplify right side
    33,242.69x = 476,238,650.18
  5. Step 5: Solve for x
    x = 476,238,650.18/33,242.69
  6. Step 6: Final answer
    x = 14,326.12

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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.