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Finding the Fourth Proportional to 97,361.92, 146,006.16 and 34,162.48

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Solution

The fourth proportional to 97,361.92, 146,006.16 and 34,162.48 is: 51,230.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,361.92 : 146,006.16 = 34,162.48 : x
  2. Step 2: Convert to fraction form
    97,361.92/146,006.16 = 34,162.48/x
  3. Step 3: Cross multiply
    97,361.92x = 146,006.16 × 34,162.48
  4. Step 4: Simplify right side
    97,361.92x = 4,987,932,520.88
  5. Step 5: Solve for x
    x = 4,987,932,520.88/97,361.92
  6. Step 6: Final answer
    x = 51,230.84

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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.