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Finding the Fourth Proportional to 133,472.48, 200,206.39 and 33,630.46

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Solution

The fourth proportional to 133,472.48, 200,206.39 and 33,630.46 is: 50,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,472.48 : 200,206.39 = 33,630.46 : x
  2. Step 2: Convert to fraction form
    133,472.48/200,206.39 = 33,630.46/x
  3. Step 3: Cross multiply
    133,472.48x = 200,206.39 × 33,630.46
  4. Step 4: Simplify right side
    133,472.48x = 6,733,032,469.10
  5. Step 5: Solve for x
    x = 6,733,032,469.10/133,472.48
  6. Step 6: Final answer
    x = 50,445.10

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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.