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Finding the Fourth Proportional to 97,462.80, 146,076.46 and 47,467.98

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Solution

The fourth proportional to 97,462.80, 146,076.46 and 47,467.98 is: 71,144.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,462.80 : 146,076.46 = 47,467.98 : x
  2. Step 2: Convert to fraction form
    97,462.80/146,076.46 = 47,467.98/x
  3. Step 3: Cross multiply
    97,462.80x = 146,076.46 × 47,467.98
  4. Step 4: Simplify right side
    97,462.80x = 6,933,954,481.75
  5. Step 5: Solve for x
    x = 6,933,954,481.75/97,462.80
  6. Step 6: Final answer
    x = 71,144.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.