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Finding the Fourth Proportional to 40,424.52, 55,741.26 and 27,679.80

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Solution

The fourth proportional to 40,424.52, 55,741.26 and 27,679.80 is: 38,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,424.52 : 55,741.26 = 27,679.80 : x
  2. Step 2: Convert to fraction form
    40,424.52/55,741.26 = 27,679.80/x
  3. Step 3: Cross multiply
    40,424.52x = 55,741.26 × 27,679.80
  4. Step 4: Simplify right side
    40,424.52x = 1,542,906,928.55
  5. Step 5: Solve for x
    x = 1,542,906,928.55/40,424.52
  6. Step 6: Final answer
    x = 38,167.60

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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.