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Finding the Fourth Proportional to 96,694.59, 144,982.34 and 33,500.01

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Solution

The fourth proportional to 96,694.59, 144,982.34 and 33,500.01 is: 50,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,694.59 : 144,982.34 = 33,500.01 : x
  2. Step 2: Convert to fraction form
    96,694.59/144,982.34 = 33,500.01/x
  3. Step 3: Cross multiply
    96,694.59x = 144,982.34 × 33,500.01
  4. Step 4: Simplify right side
    96,694.59x = 4,856,909,672.32
  5. Step 5: Solve for x
    x = 4,856,909,672.32/96,694.59
  6. Step 6: Final answer
    x = 50,229.38

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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.