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Finding the Fourth Proportional to 48,663, 67,164.66 and 27,442.62

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Solution

The fourth proportional to 48,663, 67,164.66 and 27,442.62 is: 37,876.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,663 : 67,164.66 = 27,442.62 : x
  2. Step 2: Convert to fraction form
    48,663/67,164.66 = 27,442.62/x
  3. Step 3: Cross multiply
    48,663x = 67,164.66 × 27,442.62
  4. Step 4: Simplify right side
    48,663x = 1,843,174,241.81
  5. Step 5: Solve for x
    x = 1,843,174,241.81/48,663
  6. Step 6: Final answer
    x = 37,876.30

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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.