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Finding the Fourth Proportional to 33,166.64, 49,749.96 and 10,974.06

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Solution

The fourth proportional to 33,166.64, 49,749.96 and 10,974.06 is: 16,461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,166.64 : 49,749.96 = 10,974.06 : x
  2. Step 2: Convert to fraction form
    33,166.64/49,749.96 = 10,974.06/x
  3. Step 3: Cross multiply
    33,166.64x = 49,749.96 × 10,974.06
  4. Step 4: Simplify right side
    33,166.64x = 545,959,046.04
  5. Step 5: Solve for x
    x = 545,959,046.04/33,166.64
  6. Step 6: Final answer
    x = 16,461.09

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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.