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Finding the Fourth Proportional to 48,651.62, 67,137.86 and 27,142

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Solution

The fourth proportional to 48,651.62, 67,137.86 and 27,142 is: 37,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,651.62 : 67,137.86 = 27,142 : x
  2. Step 2: Convert to fraction form
    48,651.62/67,137.86 = 27,142/x
  3. Step 3: Cross multiply
    48,651.62x = 67,137.86 × 27,142
  4. Step 4: Simplify right side
    48,651.62x = 1,822,255,796.12
  5. Step 5: Solve for x
    x = 1,822,255,796.12/48,651.62
  6. Step 6: Final answer
    x = 37,455.19

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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.