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Finding the Fourth Proportional to 33,846.34, 50,779.89 and 15,142.12

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Solution

The fourth proportional to 33,846.34, 50,779.89 and 15,142.12 is: 22,717.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846.34 : 50,779.89 = 15,142.12 : x
  2. Step 2: Convert to fraction form
    33,846.34/50,779.89 = 15,142.12/x
  3. Step 3: Cross multiply
    33,846.34x = 50,779.89 × 15,142.12
  4. Step 4: Simplify right side
    33,846.34x = 768,915,187.97
  5. Step 5: Solve for x
    x = 768,915,187.97/33,846.34
  6. Step 6: Final answer
    x = 22,717.82

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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.