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Finding the Fourth Proportional to 49,393, 68,163.42 and 27,037

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Solution

The fourth proportional to 49,393, 68,163.42 and 27,037 is: 37,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,393 : 68,163.42 = 27,037 : x
  2. Step 2: Convert to fraction form
    49,393/68,163.42 = 27,037/x
  3. Step 3: Cross multiply
    49,393x = 68,163.42 × 27,037
  4. Step 4: Simplify right side
    49,393x = 1,842,934,386.54
  5. Step 5: Solve for x
    x = 1,842,934,386.54/49,393
  6. Step 6: Final answer
    x = 37,311.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.