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Finding the Fourth Proportional to 76,231.75, 105,199.82 and 42,697.75

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Solution

The fourth proportional to 76,231.75, 105,199.82 and 42,697.75 is: 58,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,231.75 : 105,199.82 = 42,697.75 : x
  2. Step 2: Convert to fraction form
    76,231.75/105,199.82 = 42,697.75/x
  3. Step 3: Cross multiply
    76,231.75x = 105,199.82 × 42,697.75
  4. Step 4: Simplify right side
    76,231.75x = 4,491,795,614.41
  5. Step 5: Solve for x
    x = 4,491,795,614.41/76,231.75
  6. Step 6: Final answer
    x = 58,922.90

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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.