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Finding the Fourth Proportional to 82,162.87, 113,388.20 and 51,937.32

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Solution

The fourth proportional to 82,162.87, 113,388.20 and 51,937.32 is: 71,675.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,162.87 : 113,388.20 = 51,937.32 : x
  2. Step 2: Convert to fraction form
    82,162.87/113,388.20 = 51,937.32/x
  3. Step 3: Cross multiply
    82,162.87x = 113,388.20 × 51,937.32
  4. Step 4: Simplify right side
    82,162.87x = 5,889,079,227.62
  5. Step 5: Solve for x
    x = 5,889,079,227.62/82,162.87
  6. Step 6: Final answer
    x = 71,675.68

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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.