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Finding the Fourth Proportional to 48,961.78, 67,573.38 and 27,747.88

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Solution

The fourth proportional to 48,961.78, 67,573.38 and 27,747.88 is: 38,295.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,961.78 : 67,573.38 = 27,747.88 : x
  2. Step 2: Convert to fraction form
    48,961.78/67,573.38 = 27,747.88/x
  3. Step 3: Cross multiply
    48,961.78x = 67,573.38 × 27,747.88
  4. Step 4: Simplify right side
    48,961.78x = 1,875,018,039.43
  5. Step 5: Solve for x
    x = 1,875,018,039.43/48,961.78
  6. Step 6: Final answer
    x = 38,295.54

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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.