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Finding the Fourth Proportional to 49,467.64, 74,183.22 and 34,669

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Solution

The fourth proportional to 49,467.64, 74,183.22 and 34,669 is: 51,990.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,467.64 : 74,183.22 = 34,669 : x
  2. Step 2: Convert to fraction form
    49,467.64/74,183.22 = 34,669/x
  3. Step 3: Cross multiply
    49,467.64x = 74,183.22 × 34,669
  4. Step 4: Simplify right side
    49,467.64x = 2,571,858,054.18
  5. Step 5: Solve for x
    x = 2,571,858,054.18/49,467.64
  6. Step 6: Final answer
    x = 51,990.72

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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.