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Finding the Fourth Proportional to 96,016.20, 132,351.36 and 65,749.12

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Solution

The fourth proportional to 96,016.20, 132,351.36 and 65,749.12 is: 90,630.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,016.20 : 132,351.36 = 65,749.12 : x
  2. Step 2: Convert to fraction form
    96,016.20/132,351.36 = 65,749.12/x
  3. Step 3: Cross multiply
    96,016.20x = 132,351.36 × 65,749.12
  4. Step 4: Simplify right side
    96,016.20x = 8,701,985,450.80
  5. Step 5: Solve for x
    x = 8,701,985,450.80/96,016.20
  6. Step 6: Final answer
    x = 90,630.39

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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.