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Finding the Fourth Proportional to 81,509.96, 122,218.86 and 48,234.44

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Solution

The fourth proportional to 81,509.96, 122,218.86 and 48,234.44 is: 72,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,509.96 : 122,218.86 = 48,234.44 : x
  2. Step 2: Convert to fraction form
    81,509.96/122,218.86 = 48,234.44/x
  3. Step 3: Cross multiply
    81,509.96x = 122,218.86 × 48,234.44
  4. Step 4: Simplify right side
    81,509.96x = 5,895,158,269.54
  5. Step 5: Solve for x
    x = 5,895,158,269.54/81,509.96
  6. Step 6: Final answer
    x = 72,324.39

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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.