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Finding the Fourth Proportional to 48,625, 67,100.82 and 27,403

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Solution

The fourth proportional to 48,625, 67,100.82 and 27,403 is: 37,815.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,625 : 67,100.82 = 27,403 : x
  2. Step 2: Convert to fraction form
    48,625/67,100.82 = 27,403/x
  3. Step 3: Cross multiply
    48,625x = 67,100.82 × 27,403
  4. Step 4: Simplify right side
    48,625x = 1,838,763,770.46
  5. Step 5: Solve for x
    x = 1,838,763,770.46/48,625
  6. Step 6: Final answer
    x = 37,815.19

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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.