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Finding the Fourth Proportional to 100,096.92, 150,204.54 and 36,961.26

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Solution

The fourth proportional to 100,096.92, 150,204.54 and 36,961.26 is: 55,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,096.92 : 150,204.54 = 36,961.26 : x
  2. Step 2: Convert to fraction form
    100,096.92/150,204.54 = 36,961.26/x
  3. Step 3: Cross multiply
    100,096.92x = 150,204.54 × 36,961.26
  4. Step 4: Simplify right side
    100,096.92x = 5,551,749,056.12
  5. Step 5: Solve for x
    x = 5,551,749,056.12/100,096.92
  6. Step 6: Final answer
    x = 55,463.74

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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.