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Finding the Fourth Proportional to 48,868.31, 67,438.34 and 27,647.12

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Solution

The fourth proportional to 48,868.31, 67,438.34 and 27,647.12 is: 38,153.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,868.31 : 67,438.34 = 27,647.12 : x
  2. Step 2: Convert to fraction form
    48,868.31/67,438.34 = 27,647.12/x
  3. Step 3: Cross multiply
    48,868.31x = 67,438.34 × 27,647.12
  4. Step 4: Simplify right side
    48,868.31x = 1,864,476,012.62
  5. Step 5: Solve for x
    x = 1,864,476,012.62/48,868.31
  6. Step 6: Final answer
    x = 38,153.07

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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.