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Finding the Fourth Proportional to 48,856.38, 67,421.82 and 27,635.19

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Solution

The fourth proportional to 48,856.38, 67,421.82 and 27,635.19 is: 38,136.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,856.38 : 67,421.82 = 27,635.19 : x
  2. Step 2: Convert to fraction form
    48,856.38/67,421.82 = 27,635.19/x
  3. Step 3: Cross multiply
    48,856.38x = 67,421.82 × 27,635.19
  4. Step 4: Simplify right side
    48,856.38x = 1,863,214,805.85
  5. Step 5: Solve for x
    x = 1,863,214,805.85/48,856.38
  6. Step 6: Final answer
    x = 38,136.57

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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.