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Finding the Fourth Proportional to 82,132.43, 123,211.94 and 32,185.44

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Solution

The fourth proportional to 82,132.43, 123,211.94 and 32,185.44 is: 48,283.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,132.43 : 123,211.94 = 32,185.44 : x
  2. Step 2: Convert to fraction form
    82,132.43/123,211.94 = 32,185.44/x
  3. Step 3: Cross multiply
    82,132.43x = 123,211.94 × 32,185.44
  4. Step 4: Simplify right side
    82,132.43x = 3,965,630,341.23
  5. Step 5: Solve for x
    x = 3,965,630,341.23/82,132.43
  6. Step 6: Final answer
    x = 48,283.37

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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.