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Finding the Fourth Proportional to 96,645.83, 144,933.98 and 33,448.78

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Solution

The fourth proportional to 96,645.83, 144,933.98 and 33,448.78 is: 50,161.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,645.83 : 144,933.98 = 33,448.78 : x
  2. Step 2: Convert to fraction form
    96,645.83/144,933.98 = 33,448.78/x
  3. Step 3: Cross multiply
    96,645.83x = 144,933.98 × 33,448.78
  4. Step 4: Simplify right side
    96,645.83x = 4,847,864,825.47
  5. Step 5: Solve for x
    x = 4,847,864,825.47/96,645.83
  6. Step 6: Final answer
    x = 50,161.14

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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.