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Finding the Fourth Proportional to 48,871.50, 67,442.75 and 27,650.31

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Solution

The fourth proportional to 48,871.50, 67,442.75 and 27,650.31 is: 38,157.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,871.50 : 67,442.75 = 27,650.31 : x
  2. Step 2: Convert to fraction form
    48,871.50/67,442.75 = 27,650.31/x
  3. Step 3: Cross multiply
    48,871.50x = 67,442.75 × 27,650.31
  4. Step 4: Simplify right side
    48,871.50x = 1,864,812,806.50
  5. Step 5: Solve for x
    x = 1,864,812,806.50/48,871.50
  6. Step 6: Final answer
    x = 38,157.47

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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.