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Finding the Fourth Proportional to 33,148.53, 49,722.74 and 9,791.37

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Solution

The fourth proportional to 33,148.53, 49,722.74 and 9,791.37 is: 14,687.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,148.53 : 49,722.74 = 9,791.37 : x
  2. Step 2: Convert to fraction form
    33,148.53/49,722.74 = 9,791.37/x
  3. Step 3: Cross multiply
    33,148.53x = 49,722.74 × 9,791.37
  4. Step 4: Simplify right side
    33,148.53x = 486,853,695.80
  5. Step 5: Solve for x
    x = 486,853,695.80/33,148.53
  6. Step 6: Final answer
    x = 14,687.04

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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.