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Finding the Fourth Proportional to 100,644.69, 150,957.30 and 30,524.61

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Solution

The fourth proportional to 100,644.69, 150,957.30 and 30,524.61 is: 45,783.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,644.69 : 150,957.30 = 30,524.61 : x
  2. Step 2: Convert to fraction form
    100,644.69/150,957.30 = 30,524.61/x
  3. Step 3: Cross multiply
    100,644.69x = 150,957.30 × 30,524.61
  4. Step 4: Simplify right side
    100,644.69x = 4,607,912,709.15
  5. Step 5: Solve for x
    x = 4,607,912,709.15/100,644.69
  6. Step 6: Final answer
    x = 45,783.96

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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.