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Finding the Fourth Proportional to 53,843, 80,767.74 and 16,907

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Solution

The fourth proportional to 53,843, 80,767.74 and 16,907 is: 25,361.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,843 : 80,767.74 = 16,907 : x
  2. Step 2: Convert to fraction form
    53,843/80,767.74 = 16,907/x
  3. Step 3: Cross multiply
    53,843x = 80,767.74 × 16,907
  4. Step 4: Simplify right side
    53,843x = 1,365,540,180.18
  5. Step 5: Solve for x
    x = 1,365,540,180.18/53,843
  6. Step 6: Final answer
    x = 25,361.52

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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.