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Finding the Fourth Proportional to 56,662.35, 78,190.97 and 31,163.82

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Solution

The fourth proportional to 56,662.35, 78,190.97 and 31,163.82 is: 43,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,662.35 : 78,190.97 = 31,163.82 : x
  2. Step 2: Convert to fraction form
    56,662.35/78,190.97 = 31,163.82/x
  3. Step 3: Cross multiply
    56,662.35x = 78,190.97 × 31,163.82
  4. Step 4: Simplify right side
    56,662.35x = 2,436,729,158.89
  5. Step 5: Solve for x
    x = 2,436,729,158.89/56,662.35
  6. Step 6: Final answer
    x = 43,004.38

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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.