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Finding the Fourth Proportional to 33,165.26, 49,750.33 and 9,474.81

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Solution

The fourth proportional to 33,165.26, 49,750.33 and 9,474.81 is: 14,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,165.26 : 49,750.33 = 9,474.81 : x
  2. Step 2: Convert to fraction form
    33,165.26/49,750.33 = 9,474.81/x
  3. Step 3: Cross multiply
    33,165.26x = 49,750.33 × 9,474.81
  4. Step 4: Simplify right side
    33,165.26x = 471,374,749.47
  5. Step 5: Solve for x
    x = 471,374,749.47/33,165.26
  6. Step 6: Final answer
    x = 14,212.91

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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.