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Finding the Fourth Proportional to 53,813.86, 80,650.59 and 33,542.24

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Solution

The fourth proportional to 53,813.86, 80,650.59 and 33,542.24 is: 50,269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,813.86 : 80,650.59 = 33,542.24 : x
  2. Step 2: Convert to fraction form
    53,813.86/80,650.59 = 33,542.24/x
  3. Step 3: Cross multiply
    53,813.86x = 80,650.59 × 33,542.24
  4. Step 4: Simplify right side
    53,813.86x = 2,705,201,445.92
  5. Step 5: Solve for x
    x = 2,705,201,445.92/53,813.86
  6. Step 6: Final answer
    x = 50,269.60

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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.