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Finding the Fourth Proportional to 49,376.72, 68,138.16 and 28,162.82

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Solution

The fourth proportional to 49,376.72, 68,138.16 and 28,162.82 is: 38,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,376.72 : 68,138.16 = 28,162.82 : x
  2. Step 2: Convert to fraction form
    49,376.72/68,138.16 = 28,162.82/x
  3. Step 3: Cross multiply
    49,376.72x = 68,138.16 × 28,162.82
  4. Step 4: Simplify right side
    49,376.72x = 1,918,962,735.21
  5. Step 5: Solve for x
    x = 1,918,962,735.21/49,376.72
  6. Step 6: Final answer
    x = 38,863.71

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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.