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Finding the Fourth Proportional to 33,285.78, 49,923.18 and 9,906.75

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Solution

The fourth proportional to 33,285.78, 49,923.18 and 9,906.75 is: 14,858.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,285.78 : 49,923.18 = 9,906.75 : x
  2. Step 2: Convert to fraction form
    33,285.78/49,923.18 = 9,906.75/x
  3. Step 3: Cross multiply
    33,285.78x = 49,923.18 × 9,906.75
  4. Step 4: Simplify right side
    33,285.78x = 494,576,463.47
  5. Step 5: Solve for x
    x = 494,576,463.47/33,285.78
  6. Step 6: Final answer
    x = 14,858.49

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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.