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Finding the Fourth Proportional to 49,477.74, 74,149.38 and 27,257.82

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Solution

The fourth proportional to 49,477.74, 74,149.38 and 27,257.82 is: 40,849.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,477.74 : 74,149.38 = 27,257.82 : x
  2. Step 2: Convert to fraction form
    49,477.74/74,149.38 = 27,257.82/x
  3. Step 3: Cross multiply
    49,477.74x = 74,149.38 × 27,257.82
  4. Step 4: Simplify right side
    49,477.74x = 2,021,150,453.15
  5. Step 5: Solve for x
    x = 2,021,150,453.15/49,477.74
  6. Step 6: Final answer
    x = 40,849.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.