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Finding the Fourth Proportional to 97,650.68, 146,481.73 and 37,679.48

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Solution

The fourth proportional to 97,650.68, 146,481.73 and 37,679.48 is: 56,521.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,650.68 : 146,481.73 = 37,679.48 : x
  2. Step 2: Convert to fraction form
    97,650.68/146,481.73 = 37,679.48/x
  3. Step 3: Cross multiply
    97,650.68x = 146,481.73 × 37,679.48
  4. Step 4: Simplify right side
    97,650.68x = 5,519,354,683.49
  5. Step 5: Solve for x
    x = 5,519,354,683.49/97,650.68
  6. Step 6: Final answer
    x = 56,521.42

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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.