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Finding the Fourth Proportional to 81,099, 121,647.96 and 21,940.74

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Solution

The fourth proportional to 81,099, 121,647.96 and 21,940.74 is: 32,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,099 : 121,647.96 = 21,940.74 : x
  2. Step 2: Convert to fraction form
    81,099/121,647.96 = 21,940.74/x
  3. Step 3: Cross multiply
    81,099x = 121,647.96 × 21,940.74
  4. Step 4: Simplify right side
    81,099x = 2,669,046,261.89
  5. Step 5: Solve for x
    x = 2,669,046,261.89/81,099
  6. Step 6: Final answer
    x = 32,910.96

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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.