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Finding the Fourth Proportional to 48,925.82, 67,517.90 and 27,709.22

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Solution

The fourth proportional to 48,925.82, 67,517.90 and 27,709.22 is: 38,238.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,925.82 : 67,517.90 = 27,709.22 : x
  2. Step 2: Convert to fraction form
    48,925.82/67,517.90 = 27,709.22/x
  3. Step 3: Cross multiply
    48,925.82x = 67,517.90 × 27,709.22
  4. Step 4: Simplify right side
    48,925.82x = 1,870,867,868.90
  5. Step 5: Solve for x
    x = 1,870,867,868.90/48,925.82
  6. Step 6: Final answer
    x = 38,238.87

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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.