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Finding the Fourth Proportional to 33,049.75, 49,564.10 and 10,858.00

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Solution

The fourth proportional to 33,049.75, 49,564.10 and 10,858.00 is: 16,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,049.75 : 49,564.10 = 10,858.00 : x
  2. Step 2: Convert to fraction form
    33,049.75/49,564.10 = 10,858.00/x
  3. Step 3: Cross multiply
    33,049.75x = 49,564.10 × 10,858.00
  4. Step 4: Simplify right side
    33,049.75x = 538,166,993.97
  5. Step 5: Solve for x
    x = 538,166,993.97/33,049.75
  6. Step 6: Final answer
    x = 16,283.54

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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.