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Finding the Fourth Proportional to 33,043.14, 49,564.71 and 10,850.56

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Solution

The fourth proportional to 33,043.14, 49,564.71 and 10,850.56 is: 16,275.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,043.14 : 49,564.71 = 10,850.56 : x
  2. Step 2: Convert to fraction form
    33,043.14/49,564.71 = 10,850.56/x
  3. Step 3: Cross multiply
    33,043.14x = 49,564.71 × 10,850.56
  4. Step 4: Simplify right side
    33,043.14x = 537,804,735.83
  5. Step 5: Solve for x
    x = 537,804,735.83/33,043.14
  6. Step 6: Final answer
    x = 16,275.84

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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.