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Finding the Fourth Proportional to 76,589.10, 105,691.11 and 41,662.86

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Solution

The fourth proportional to 76,589.10, 105,691.11 and 41,662.86 is: 57,493.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,589.10 : 105,691.11 = 41,662.86 : x
  2. Step 2: Convert to fraction form
    76,589.10/105,691.11 = 41,662.86/x
  3. Step 3: Cross multiply
    76,589.10x = 105,691.11 × 41,662.86
  4. Step 4: Simplify right side
    76,589.10x = 4,403,393,919.17
  5. Step 5: Solve for x
    x = 4,403,393,919.17/76,589.10
  6. Step 6: Final answer
    x = 57,493.74

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Why These Related Problems?

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