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Finding the Fourth Proportional to 48,856.88, 67,424.03 and 27,634.78

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Solution

The fourth proportional to 48,856.88, 67,424.03 and 27,634.78 is: 38,136.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,856.88 : 67,424.03 = 27,634.78 : x
  2. Step 2: Convert to fraction form
    48,856.88/67,424.03 = 27,634.78/x
  3. Step 3: Cross multiply
    48,856.88x = 67,424.03 × 27,634.78
  4. Step 4: Simplify right side
    48,856.88x = 1,863,248,285.50
  5. Step 5: Solve for x
    x = 1,863,248,285.50/48,856.88
  6. Step 6: Final answer
    x = 38,136.86

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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.