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Finding the Fourth Proportional to 96,087.88, 144,199.86 and 33,763.24

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Solution

The fourth proportional to 96,087.88, 144,199.86 and 33,763.24 is: 50,668.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,087.88 : 144,199.86 = 33,763.24 : x
  2. Step 2: Convert to fraction form
    96,087.88/144,199.86 = 33,763.24/x
  3. Step 3: Cross multiply
    96,087.88x = 144,199.86 × 33,763.24
  4. Step 4: Simplify right side
    96,087.88x = 4,868,654,481.15
  5. Step 5: Solve for x
    x = 4,868,654,481.15/96,087.88
  6. Step 6: Final answer
    x = 50,668.77

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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.