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Finding the Fourth Proportional to 87,857.75, 121,243.76 and 47,571.54

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Solution

The fourth proportional to 87,857.75, 121,243.76 and 47,571.54 is: 65,648.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,857.75 : 121,243.76 = 47,571.54 : x
  2. Step 2: Convert to fraction form
    87,857.75/121,243.76 = 47,571.54/x
  3. Step 3: Cross multiply
    87,857.75x = 121,243.76 × 47,571.54
  4. Step 4: Simplify right side
    87,857.75x = 5,767,752,378.59
  5. Step 5: Solve for x
    x = 5,767,752,378.59/87,857.75
  6. Step 6: Final answer
    x = 65,648.76

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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.