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Finding the Fourth Proportional to 33,005.69, 49,507.71 and 9,632.33

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Solution

The fourth proportional to 33,005.69, 49,507.71 and 9,632.33 is: 14,448.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.69 : 49,507.71 = 9,632.33 : x
  2. Step 2: Convert to fraction form
    33,005.69/49,507.71 = 9,632.33/x
  3. Step 3: Cross multiply
    33,005.69x = 49,507.71 × 9,632.33
  4. Step 4: Simplify right side
    33,005.69x = 476,874,352.73
  5. Step 5: Solve for x
    x = 476,874,352.73/33,005.69
  6. Step 6: Final answer
    x = 14,448.25

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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.