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Finding the Fourth Proportional to 76,188.99, 114,301.73 and 31,791.04

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Solution

The fourth proportional to 76,188.99, 114,301.73 and 31,791.04 is: 47,694.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,188.99 : 114,301.73 = 31,791.04 : x
  2. Step 2: Convert to fraction form
    76,188.99/114,301.73 = 31,791.04/x
  3. Step 3: Cross multiply
    76,188.99x = 114,301.73 × 31,791.04
  4. Step 4: Simplify right side
    76,188.99x = 3,633,770,711.54
  5. Step 5: Solve for x
    x = 3,633,770,711.54/76,188.99
  6. Step 6: Final answer
    x = 47,694.17

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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.