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Finding the Fourth Proportional to 52,796.58, 79,183.74 and 31,458.76

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Solution

The fourth proportional to 52,796.58, 79,183.74 and 31,458.76 is: 47,181.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,796.58 : 79,183.74 = 31,458.76 : x
  2. Step 2: Convert to fraction form
    52,796.58/79,183.74 = 31,458.76/x
  3. Step 3: Cross multiply
    52,796.58x = 79,183.74 × 31,458.76
  4. Step 4: Simplify right side
    52,796.58x = 2,491,022,272.56
  5. Step 5: Solve for x
    x = 2,491,022,272.56/52,796.58
  6. Step 6: Final answer
    x = 47,181.51

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Why These Related Problems?

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