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Finding the Fourth Proportional to 54,413.80, 81,639.90 and 52,493.80

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Solution

The fourth proportional to 54,413.80, 81,639.90 and 52,493.80 is: 78,759.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,413.80 : 81,639.90 = 52,493.80 : x
  2. Step 2: Convert to fraction form
    54,413.80/81,639.90 = 52,493.80/x
  3. Step 3: Cross multiply
    54,413.80x = 81,639.90 × 52,493.80
  4. Step 4: Simplify right side
    54,413.80x = 4,285,588,582.62
  5. Step 5: Solve for x
    x = 4,285,588,582.62/54,413.80
  6. Step 6: Final answer
    x = 78,759.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.