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Finding the Fourth Proportional to 76,519.78, 114,786.27 and 21,115.78

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Solution

The fourth proportional to 76,519.78, 114,786.27 and 21,115.78 is: 31,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,519.78 : 114,786.27 = 21,115.78 : x
  2. Step 2: Convert to fraction form
    76,519.78/114,786.27 = 21,115.78/x
  3. Step 3: Cross multiply
    76,519.78x = 114,786.27 × 21,115.78
  4. Step 4: Simplify right side
    76,519.78x = 2,423,801,624.34
  5. Step 5: Solve for x
    x = 2,423,801,624.34/76,519.78
  6. Step 6: Final answer
    x = 31,675.49

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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.