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Finding the Fourth Proportional to 77,651.62, 116,447.94 and 27,722.41

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Solution

The fourth proportional to 77,651.62, 116,447.94 and 27,722.41 is: 41,573.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,651.62 : 116,447.94 = 27,722.41 : x
  2. Step 2: Convert to fraction form
    77,651.62/116,447.94 = 27,722.41/x
  3. Step 3: Cross multiply
    77,651.62x = 116,447.94 × 27,722.41
  4. Step 4: Simplify right side
    77,651.62x = 3,228,217,536.34
  5. Step 5: Solve for x
    x = 3,228,217,536.34/77,651.62
  6. Step 6: Final answer
    x = 41,573.09

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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.