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Finding the Fourth Proportional to 92,447.82, 127,579.41 and 52,163.46

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Solution

The fourth proportional to 92,447.82, 127,579.41 and 52,163.46 is: 71,986.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,447.82 : 127,579.41 = 52,163.46 : x
  2. Step 2: Convert to fraction form
    92,447.82/127,579.41 = 52,163.46/x
  3. Step 3: Cross multiply
    92,447.82x = 127,579.41 × 52,163.46
  4. Step 4: Simplify right side
    92,447.82x = 6,654,983,450.36
  5. Step 5: Solve for x
    x = 6,654,983,450.36/92,447.82
  6. Step 6: Final answer
    x = 71,986.38

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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.