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Finding the Fourth Proportional to 33,266.96, 49,900.30 and 13,540.84

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Solution

The fourth proportional to 33,266.96, 49,900.30 and 13,540.84 is: 20,311.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,266.96 : 49,900.30 = 13,540.84 : x
  2. Step 2: Convert to fraction form
    33,266.96/49,900.30 = 13,540.84/x
  3. Step 3: Cross multiply
    33,266.96x = 49,900.30 × 13,540.84
  4. Step 4: Simplify right side
    33,266.96x = 675,691,978.25
  5. Step 5: Solve for x
    x = 675,691,978.25/33,266.96
  6. Step 6: Final answer
    x = 20,311.20

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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.