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Finding the Fourth Proportional to 33,830.64, 50,740.20 and 10,450.80

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Solution

The fourth proportional to 33,830.64, 50,740.20 and 10,450.80 is: 15,674.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,830.64 : 50,740.20 = 10,450.80 : x
  2. Step 2: Convert to fraction form
    33,830.64/50,740.20 = 10,450.80/x
  3. Step 3: Cross multiply
    33,830.64x = 50,740.20 × 10,450.80
  4. Step 4: Simplify right side
    33,830.64x = 530,275,682.16
  5. Step 5: Solve for x
    x = 530,275,682.16/33,830.64
  6. Step 6: Final answer
    x = 15,674.42

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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.