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Finding the Fourth Proportional to 48,776.82, 73,174.49 and 27,740.61

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Solution

The fourth proportional to 48,776.82, 73,174.49 and 27,740.61 is: 41,616.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,776.82 : 73,174.49 = 27,740.61 : x
  2. Step 2: Convert to fraction form
    48,776.82/73,174.49 = 27,740.61/x
  3. Step 3: Cross multiply
    48,776.82x = 73,174.49 × 27,740.61
  4. Step 4: Simplify right side
    48,776.82x = 2,029,904,954.36
  5. Step 5: Solve for x
    x = 2,029,904,954.36/48,776.82
  6. Step 6: Final answer
    x = 41,616.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.