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Finding the Fourth Proportional to 33,994.50, 50,829.48 and 31,016.81

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Solution

The fourth proportional to 33,994.50, 50,829.48 and 31,016.81 is: 46,377.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994.50 : 50,829.48 = 31,016.81 : x
  2. Step 2: Convert to fraction form
    33,994.50/50,829.48 = 31,016.81/x
  3. Step 3: Cross multiply
    33,994.50x = 50,829.48 × 31,016.81
  4. Step 4: Simplify right side
    33,994.50x = 1,576,568,069.41
  5. Step 5: Solve for x
    x = 1,576,568,069.41/33,994.50
  6. Step 6: Final answer
    x = 46,377.15

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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.