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Finding the Fourth Proportional to 82,261.96, 123,383.58 and 23,102.44

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Solution

The fourth proportional to 82,261.96, 123,383.58 and 23,102.44 is: 34,651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,261.96 : 123,383.58 = 23,102.44 : x
  2. Step 2: Convert to fraction form
    82,261.96/123,383.58 = 23,102.44/x
  3. Step 3: Cross multiply
    82,261.96x = 123,383.58 × 23,102.44
  4. Step 4: Simplify right side
    82,261.96x = 2,850,461,753.94
  5. Step 5: Solve for x
    x = 2,850,461,753.94/82,261.96
  6. Step 6: Final answer
    x = 34,651.03

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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.