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Finding the Fourth Proportional to 53,839, 80,761.74 and 16,903

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Solution

The fourth proportional to 53,839, 80,761.74 and 16,903 is: 25,355.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,839 : 80,761.74 = 16,903 : x
  2. Step 2: Convert to fraction form
    53,839/80,761.74 = 16,903/x
  3. Step 3: Cross multiply
    53,839x = 80,761.74 × 16,903
  4. Step 4: Simplify right side
    53,839x = 1,365,115,691.22
  5. Step 5: Solve for x
    x = 1,365,115,691.22/53,839
  6. Step 6: Final answer
    x = 25,355.52

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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.