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Finding the Fourth Proportional to 33,078.25, 49,838.02 and 29,919.34

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Solution

The fourth proportional to 33,078.25, 49,838.02 and 29,919.34 is: 45,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,078.25 : 49,838.02 = 29,919.34 : x
  2. Step 2: Convert to fraction form
    33,078.25/49,838.02 = 29,919.34/x
  3. Step 3: Cross multiply
    33,078.25x = 49,838.02 × 29,919.34
  4. Step 4: Simplify right side
    33,078.25x = 1,491,120,665.31
  5. Step 5: Solve for x
    x = 1,491,120,665.31/33,078.25
  6. Step 6: Final answer
    x = 45,078.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.