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Finding the Fourth Proportional to 76,764.58, 115,181.43 and 41,651.62

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Solution

The fourth proportional to 76,764.58, 115,181.43 and 41,651.62 is: 62,496.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,764.58 : 115,181.43 = 41,651.62 : x
  2. Step 2: Convert to fraction form
    76,764.58/115,181.43 = 41,651.62/x
  3. Step 3: Cross multiply
    76,764.58x = 115,181.43 × 41,651.62
  4. Step 4: Simplify right side
    76,764.58x = 4,797,493,153.42
  5. Step 5: Solve for x
    x = 4,797,493,153.42/76,764.58
  6. Step 6: Final answer
    x = 62,496.18

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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.