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Finding the Fourth Proportional to 48,896.74, 67,475.46 and 27,677.18

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Solution

The fourth proportional to 48,896.74, 67,475.46 and 27,677.18 is: 38,193.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,896.74 : 67,475.46 = 27,677.18 : x
  2. Step 2: Convert to fraction form
    48,896.74/67,475.46 = 27,677.18/x
  3. Step 3: Cross multiply
    48,896.74x = 67,475.46 × 27,677.18
  4. Step 4: Simplify right side
    48,896.74x = 1,867,530,452.00
  5. Step 5: Solve for x
    x = 1,867,530,452.00/48,896.74
  6. Step 6: Final answer
    x = 38,193.35

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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.