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Finding the Fourth Proportional to 96,611.76, 144,942.17 and 30,052.39

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Solution

The fourth proportional to 96,611.76, 144,942.17 and 30,052.39 is: 45,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,611.76 : 144,942.17 = 30,052.39 : x
  2. Step 2: Convert to fraction form
    96,611.76/144,942.17 = 30,052.39/x
  3. Step 3: Cross multiply
    96,611.76x = 144,942.17 × 30,052.39
  4. Step 4: Simplify right side
    96,611.76x = 4,355,858,107.67
  5. Step 5: Solve for x
    x = 4,355,858,107.67/96,611.76
  6. Step 6: Final answer
    x = 45,086.21

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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.