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Finding the Fourth Proportional to 33,674.92, 50,512.36 and 13,948.16

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Solution

The fourth proportional to 33,674.92, 50,512.36 and 13,948.16 is: 20,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,674.92 : 50,512.36 = 13,948.16 : x
  2. Step 2: Convert to fraction form
    33,674.92/50,512.36 = 13,948.16/x
  3. Step 3: Cross multiply
    33,674.92x = 50,512.36 × 13,948.16
  4. Step 4: Simplify right side
    33,674.92x = 704,554,479.26
  5. Step 5: Solve for x
    x = 704,554,479.26/33,674.92
  6. Step 6: Final answer
    x = 20,922.23

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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.