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Finding the Fourth Proportional to 48,961.80, 67,562.64 and 27,741

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Solution

The fourth proportional to 48,961.80, 67,562.64 and 27,741 is: 38,279.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,961.80 : 67,562.64 = 27,741 : x
  2. Step 2: Convert to fraction form
    48,961.80/67,562.64 = 27,741/x
  3. Step 3: Cross multiply
    48,961.80x = 67,562.64 × 27,741
  4. Step 4: Simplify right side
    48,961.80x = 1,874,255,196.24
  5. Step 5: Solve for x
    x = 1,874,255,196.24/48,961.80
  6. Step 6: Final answer
    x = 38,279.95

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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.