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Finding the Fourth Proportional to 33,632.61, 50,448.78 and 10,258.97

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Solution

The fourth proportional to 33,632.61, 50,448.78 and 10,258.97 is: 15,388.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,632.61 : 50,448.78 = 10,258.97 : x
  2. Step 2: Convert to fraction form
    33,632.61/50,448.78 = 10,258.97/x
  3. Step 3: Cross multiply
    33,632.61x = 50,448.78 × 10,258.97
  4. Step 4: Simplify right side
    33,632.61x = 517,552,469.26
  5. Step 5: Solve for x
    x = 517,552,469.26/33,632.61
  6. Step 6: Final answer
    x = 15,388.41

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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.