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Finding the Fourth Proportional to 82,083.84, 123,076.44 and 32,104.32

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Solution

The fourth proportional to 82,083.84, 123,076.44 and 32,104.32 is: 48,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,083.84 : 123,076.44 = 32,104.32 : x
  2. Step 2: Convert to fraction form
    82,083.84/123,076.44 = 32,104.32/x
  3. Step 3: Cross multiply
    82,083.84x = 123,076.44 × 32,104.32
  4. Step 4: Simplify right side
    82,083.84x = 3,951,285,414.22
  5. Step 5: Solve for x
    x = 3,951,285,414.22/82,083.84
  6. Step 6: Final answer
    x = 48,137.19

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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.