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Finding the Fourth Proportional to 49,433, 68,217.78 and 27,077

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Solution

The fourth proportional to 49,433, 68,217.78 and 27,077 is: 37,366.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,433 : 68,217.78 = 27,077 : x
  2. Step 2: Convert to fraction form
    49,433/68,217.78 = 27,077/x
  3. Step 3: Cross multiply
    49,433x = 68,217.78 × 27,077
  4. Step 4: Simplify right side
    49,433x = 1,847,132,829.06
  5. Step 5: Solve for x
    x = 1,847,132,829.06/49,433
  6. Step 6: Final answer
    x = 37,366.39

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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.