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Finding the Fourth Proportional to 81,162, 121,792.82 and 34,414.88

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Solution

The fourth proportional to 81,162, 121,792.82 and 34,414.88 is: 51,643.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,162 : 121,792.82 = 34,414.88 : x
  2. Step 2: Convert to fraction form
    81,162/121,792.82 = 34,414.88/x
  3. Step 3: Cross multiply
    81,162x = 121,792.82 × 34,414.88
  4. Step 4: Simplify right side
    81,162x = 4,191,484,504.12
  5. Step 5: Solve for x
    x = 4,191,484,504.12/81,162
  6. Step 6: Final answer
    x = 51,643.44

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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.