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Finding the Fourth Proportional to 33,005.25, 49,464.14 and 27,494.01

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Solution

The fourth proportional to 33,005.25, 49,464.14 and 27,494.01 is: 41,204.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005.25 : 49,464.14 = 27,494.01 : x
  2. Step 2: Convert to fraction form
    33,005.25/49,464.14 = 27,494.01/x
  3. Step 3: Cross multiply
    33,005.25x = 49,464.14 × 27,494.01
  4. Step 4: Simplify right side
    33,005.25x = 1,359,967,422.33
  5. Step 5: Solve for x
    x = 1,359,967,422.33/33,005.25
  6. Step 6: Final answer
    x = 41,204.58

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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.