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Finding the Fourth Proportional to 76,786.62, 115,176.69 and 24,233.82

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Solution

The fourth proportional to 76,786.62, 115,176.69 and 24,233.82 is: 36,349.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,786.62 : 115,176.69 = 24,233.82 : x
  2. Step 2: Convert to fraction form
    76,786.62/115,176.69 = 24,233.82/x
  3. Step 3: Cross multiply
    76,786.62x = 115,176.69 × 24,233.82
  4. Step 4: Simplify right side
    76,786.62x = 2,791,171,173.66
  5. Step 5: Solve for x
    x = 2,791,171,173.66/76,786.62
  6. Step 6: Final answer
    x = 36,349.71

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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.