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Finding the Fourth Proportional to 33,122.42, 49,676.16 and 9,429.44

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Solution

The fourth proportional to 33,122.42, 49,676.16 and 9,429.44 is: 14,142.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,122.42 : 49,676.16 = 9,429.44 : x
  2. Step 2: Convert to fraction form
    33,122.42/49,676.16 = 9,429.44/x
  3. Step 3: Cross multiply
    33,122.42x = 49,676.16 × 9,429.44
  4. Step 4: Simplify right side
    33,122.42x = 468,418,121.77
  5. Step 5: Solve for x
    x = 468,418,121.77/33,122.42
  6. Step 6: Final answer
    x = 14,142.03

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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.