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Finding the Fourth Proportional to 53,879.86, 80,829.60 and 22,272.76

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Solution

The fourth proportional to 53,879.86, 80,829.60 and 22,272.76 is: 33,413.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,879.86 : 80,829.60 = 22,272.76 : x
  2. Step 2: Convert to fraction form
    53,879.86/80,829.60 = 22,272.76/x
  3. Step 3: Cross multiply
    53,879.86x = 80,829.60 × 22,272.76
  4. Step 4: Simplify right side
    53,879.86x = 1,800,298,092.90
  5. Step 5: Solve for x
    x = 1,800,298,092.90/53,879.86
  6. Step 6: Final answer
    x = 33,413.19

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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.