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Finding the Fourth Proportional to 82,791.72, 114,190.97 and 52,550.78

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Solution

The fourth proportional to 82,791.72, 114,190.97 and 52,550.78 is: 72,480.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,791.72 : 114,190.97 = 52,550.78 : x
  2. Step 2: Convert to fraction form
    82,791.72/114,190.97 = 52,550.78/x
  3. Step 3: Cross multiply
    82,791.72x = 114,190.97 × 52,550.78
  4. Step 4: Simplify right side
    82,791.72x = 6,000,823,708.75
  5. Step 5: Solve for x
    x = 6,000,823,708.75/82,791.72
  6. Step 6: Final answer
    x = 72,480.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.