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Finding the Fourth Proportional to 100,202.77, 150,311.45 and 33,642.34

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Solution

The fourth proportional to 100,202.77, 150,311.45 and 33,642.34 is: 50,465.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,202.77 : 150,311.45 = 33,642.34 : x
  2. Step 2: Convert to fraction form
    100,202.77/150,311.45 = 33,642.34/x
  3. Step 3: Cross multiply
    100,202.77x = 150,311.45 × 33,642.34
  4. Step 4: Simplify right side
    100,202.77x = 5,056,828,906.79
  5. Step 5: Solve for x
    x = 5,056,828,906.79/100,202.77
  6. Step 6: Final answer
    x = 50,465.96

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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.