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Finding the Fourth Proportional to 48,903, 67,489.52 and 27,682.35

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Solution

The fourth proportional to 48,903, 67,489.52 and 27,682.35 is: 38,203.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,903 : 67,489.52 = 27,682.35 : x
  2. Step 2: Convert to fraction form
    48,903/67,489.52 = 27,682.35/x
  3. Step 3: Cross multiply
    48,903x = 67,489.52 × 27,682.35
  4. Step 4: Simplify right side
    48,903x = 1,868,268,375.56
  5. Step 5: Solve for x
    x = 1,868,268,375.56/48,903
  6. Step 6: Final answer
    x = 38,203.55

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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.