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Finding the Fourth Proportional to 52,021.72, 78,160.92 and 33,309.82

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Solution

The fourth proportional to 52,021.72, 78,160.92 and 33,309.82 is: 50,046.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,021.72 : 78,160.92 = 33,309.82 : x
  2. Step 2: Convert to fraction form
    52,021.72/78,160.92 = 33,309.82/x
  3. Step 3: Cross multiply
    52,021.72x = 78,160.92 × 33,309.82
  4. Step 4: Simplify right side
    52,021.72x = 2,603,526,176.23
  5. Step 5: Solve for x
    x = 2,603,526,176.23/52,021.72
  6. Step 6: Final answer
    x = 50,046.91

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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.