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Finding the Fourth Proportional to 33,105.78, 49,346.82 and 30,448.58

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Solution

The fourth proportional to 33,105.78, 49,346.82 and 30,448.58 is: 45,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,105.78 : 49,346.82 = 30,448.58 : x
  2. Step 2: Convert to fraction form
    33,105.78/49,346.82 = 30,448.58/x
  3. Step 3: Cross multiply
    33,105.78x = 49,346.82 × 30,448.58
  4. Step 4: Simplify right side
    33,105.78x = 1,502,540,349.78
  5. Step 5: Solve for x
    x = 1,502,540,349.78/33,105.78
  6. Step 6: Final answer
    x = 45,386.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.