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Finding the Fourth Proportional to 82,243, 113,495.34 and 44,517.25

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Solution

The fourth proportional to 82,243, 113,495.34 and 44,517.25 is: 61,433.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,243 : 113,495.34 = 44,517.25 : x
  2. Step 2: Convert to fraction form
    82,243/113,495.34 = 44,517.25/x
  3. Step 3: Cross multiply
    82,243x = 113,495.34 × 44,517.25
  4. Step 4: Simplify right side
    82,243x = 5,052,500,424.62
  5. Step 5: Solve for x
    x = 5,052,500,424.62/82,243
  6. Step 6: Final answer
    x = 61,433.81

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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.