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Finding the Fourth Proportional to 48,670.82, 67,165.56 and 27,449.96

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Solution

The fourth proportional to 48,670.82, 67,165.56 and 27,449.96 is: 37,880.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,670.82 : 67,165.56 = 27,449.96 : x
  2. Step 2: Convert to fraction form
    48,670.82/67,165.56 = 27,449.96/x
  3. Step 3: Cross multiply
    48,670.82x = 67,165.56 × 27,449.96
  4. Step 4: Simplify right side
    48,670.82x = 1,843,691,935.38
  5. Step 5: Solve for x
    x = 1,843,691,935.38/48,670.82
  6. Step 6: Final answer
    x = 37,880.85

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Why These Related Problems?

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