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Finding the Fourth Proportional to 33,466.42, 50,101 and 29,314.54

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Solution

The fourth proportional to 33,466.42, 50,101 and 29,314.54 is: 43,885.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,466.42 : 50,101 = 29,314.54 : x
  2. Step 2: Convert to fraction form
    33,466.42/50,101 = 29,314.54/x
  3. Step 3: Cross multiply
    33,466.42x = 50,101 × 29,314.54
  4. Step 4: Simplify right side
    33,466.42x = 1,468,687,768.54
  5. Step 5: Solve for x
    x = 1,468,687,768.54/33,466.42
  6. Step 6: Final answer
    x = 43,885.42

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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.