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Finding the Fourth Proportional to 48,679.96, 67,180.38 and 27,459.22

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Solution

The fourth proportional to 48,679.96, 67,180.38 and 27,459.22 is: 37,894.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,679.96 : 67,180.38 = 27,459.22 : x
  2. Step 2: Convert to fraction form
    48,679.96/67,180.38 = 27,459.22/x
  3. Step 3: Cross multiply
    48,679.96x = 67,180.38 × 27,459.22
  4. Step 4: Simplify right side
    48,679.96x = 1,844,720,498.20
  5. Step 5: Solve for x
    x = 1,844,720,498.20/48,679.96
  6. Step 6: Final answer
    x = 37,894.87

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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.