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Finding the Fourth Proportional to 87,857.67, 121,243.38 and 47,571.45

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Solution

The fourth proportional to 87,857.67, 121,243.38 and 47,571.45 is: 65,648.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,857.67 : 121,243.38 = 47,571.45 : x
  2. Step 2: Convert to fraction form
    87,857.67/121,243.38 = 47,571.45/x
  3. Step 3: Cross multiply
    87,857.67x = 121,243.38 × 47,571.45
  4. Step 4: Simplify right side
    87,857.67x = 5,767,723,389.50
  5. Step 5: Solve for x
    x = 5,767,723,389.50/87,857.67
  6. Step 6: Final answer
    x = 65,648.49

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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.