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Finding the Fourth Proportional to 48,676.65, 67,173.87 and 27,456

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Solution

The fourth proportional to 48,676.65, 67,173.87 and 27,456 is: 37,889.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,676.65 : 67,173.87 = 27,456 : x
  2. Step 2: Convert to fraction form
    48,676.65/67,173.87 = 27,456/x
  3. Step 3: Cross multiply
    48,676.65x = 67,173.87 × 27,456
  4. Step 4: Simplify right side
    48,676.65x = 1,844,325,774.72
  5. Step 5: Solve for x
    x = 1,844,325,774.72/48,676.65
  6. Step 6: Final answer
    x = 37,889.33

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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.