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Finding the Fourth Proportional to 133,471.88, 200,200.80 and 33,632

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Solution

The fourth proportional to 133,471.88, 200,200.80 and 33,632 is: 50,446.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,471.88 : 200,200.80 = 33,632 : x
  2. Step 2: Convert to fraction form
    133,471.88/200,200.80 = 33,632/x
  3. Step 3: Cross multiply
    133,471.88x = 200,200.80 × 33,632
  4. Step 4: Simplify right side
    133,471.88x = 6,733,153,305.60
  5. Step 5: Solve for x
    x = 6,733,153,305.60/133,471.88
  6. Step 6: Final answer
    x = 50,446.23

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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.