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Finding the Fourth Proportional to 77,629.70, 116,469.16 and 27,708.70

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Solution

The fourth proportional to 77,629.70, 116,469.16 and 27,708.70 is: 41,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,629.70 : 116,469.16 = 27,708.70 : x
  2. Step 2: Convert to fraction form
    77,629.70/116,469.16 = 27,708.70/x
  3. Step 3: Cross multiply
    77,629.70x = 116,469.16 × 27,708.70
  4. Step 4: Simplify right side
    77,629.70x = 3,227,209,013.69
  5. Step 5: Solve for x
    x = 3,227,209,013.69/77,629.70
  6. Step 6: Final answer
    x = 41,571.83

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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.