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Finding the Fourth Proportional to 52,006.20, 77,879.70 and 41,638.20

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Solution

The fourth proportional to 52,006.20, 77,879.70 and 41,638.20 is: 62,353.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,006.20 : 77,879.70 = 41,638.20 : x
  2. Step 2: Convert to fraction form
    52,006.20/77,879.70 = 41,638.20/x
  3. Step 3: Cross multiply
    52,006.20x = 77,879.70 × 41,638.20
  4. Step 4: Simplify right side
    52,006.20x = 3,242,770,524.54
  5. Step 5: Solve for x
    x = 3,242,770,524.54/52,006.20
  6. Step 6: Final answer
    x = 62,353.54

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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.