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Finding the Fourth Proportional to 96,168.58, 144,238.27 and 33,824.50

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Solution

The fourth proportional to 96,168.58, 144,238.27 and 33,824.50 is: 50,731.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,168.58 : 144,238.27 = 33,824.50 : x
  2. Step 2: Convert to fraction form
    96,168.58/144,238.27 = 33,824.50/x
  3. Step 3: Cross multiply
    96,168.58x = 144,238.27 × 33,824.50
  4. Step 4: Simplify right side
    96,168.58x = 4,878,787,363.62
  5. Step 5: Solve for x
    x = 4,878,787,363.62/96,168.58
  6. Step 6: Final answer
    x = 50,731.61

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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.