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Finding the Fourth Proportional to 82,435.68, 113,635.44 and 50,545.44

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Solution

The fourth proportional to 82,435.68, 113,635.44 and 50,545.44 is: 69,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,435.68 : 113,635.44 = 50,545.44 : x
  2. Step 2: Convert to fraction form
    82,435.68/113,635.44 = 50,545.44/x
  3. Step 3: Cross multiply
    82,435.68x = 113,635.44 × 50,545.44
  4. Step 4: Simplify right side
    82,435.68x = 5,743,753,314.39
  5. Step 5: Solve for x
    x = 5,743,753,314.39/82,435.68
  6. Step 6: Final answer
    x = 69,675.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.