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Finding the Fourth Proportional to 47,441.76, 71,174.31 and 33,429.14

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Solution

The fourth proportional to 47,441.76, 71,174.31 and 33,429.14 is: 50,151.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,441.76 : 71,174.31 = 33,429.14 : x
  2. Step 2: Convert to fraction form
    47,441.76/71,174.31 = 33,429.14/x
  3. Step 3: Cross multiply
    47,441.76x = 71,174.31 × 33,429.14
  4. Step 4: Simplify right side
    47,441.76x = 2,379,296,151.33
  5. Step 5: Solve for x
    x = 2,379,296,151.33/47,441.76
  6. Step 6: Final answer
    x = 50,151.94

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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.