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Finding the Fourth Proportional to 96,023.60, 144,078.60 and 33,738.80

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Solution

The fourth proportional to 96,023.60, 144,078.60 and 33,738.80 is: 50,623.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,023.60 : 144,078.60 = 33,738.80 : x
  2. Step 2: Convert to fraction form
    96,023.60/144,078.60 = 33,738.80/x
  3. Step 3: Cross multiply
    96,023.60x = 144,078.60 × 33,738.80
  4. Step 4: Simplify right side
    96,023.60x = 4,861,039,069.68
  5. Step 5: Solve for x
    x = 4,861,039,069.68/96,023.60
  6. Step 6: Final answer
    x = 50,623.38

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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.