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Finding the Fourth Proportional to 48,832.56, 67,390.26 and 27,615

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Solution

The fourth proportional to 48,832.56, 67,390.26 and 27,615 is: 38,109.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,832.56 : 67,390.26 = 27,615 : x
  2. Step 2: Convert to fraction form
    48,832.56/67,390.26 = 27,615/x
  3. Step 3: Cross multiply
    48,832.56x = 67,390.26 × 27,615
  4. Step 4: Simplify right side
    48,832.56x = 1,860,982,029.90
  5. Step 5: Solve for x
    x = 1,860,982,029.90/48,832.56
  6. Step 6: Final answer
    x = 38,109.45

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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.