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Finding the Fourth Proportional to 53,737, 80,605.86 and 16,801

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Solution

The fourth proportional to 53,737, 80,605.86 and 16,801 is: 25,201.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,737 : 80,605.86 = 16,801 : x
  2. Step 2: Convert to fraction form
    53,737/80,605.86 = 16,801/x
  3. Step 3: Cross multiply
    53,737x = 80,605.86 × 16,801
  4. Step 4: Simplify right side
    53,737x = 1,354,259,053.86
  5. Step 5: Solve for x
    x = 1,354,259,053.86/53,737
  6. Step 6: Final answer
    x = 25,201.61

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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.