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Finding the Fourth Proportional to 32,761.96, 49,144.62 and 9,388.60

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Solution

The fourth proportional to 32,761.96, 49,144.62 and 9,388.60 is: 14,083.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,761.96 : 49,144.62 = 9,388.60 : x
  2. Step 2: Convert to fraction form
    32,761.96/49,144.62 = 9,388.60/x
  3. Step 3: Cross multiply
    32,761.96x = 49,144.62 × 9,388.60
  4. Step 4: Simplify right side
    32,761.96x = 461,399,179.33
  5. Step 5: Solve for x
    x = 461,399,179.33/32,761.96
  6. Step 6: Final answer
    x = 14,083.38

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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.