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Finding the Fourth Proportional to 133,588.37, 200,382.56 and 33,748.85

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Solution

The fourth proportional to 133,588.37, 200,382.56 and 33,748.85 is: 50,623.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,588.37 : 200,382.56 = 33,748.85 : x
  2. Step 2: Convert to fraction form
    133,588.37/200,382.56 = 33,748.85/x
  3. Step 3: Cross multiply
    133,588.37x = 200,382.56 × 33,748.85
  4. Step 4: Simplify right side
    133,588.37x = 6,762,681,272.49
  5. Step 5: Solve for x
    x = 6,762,681,272.49/133,588.37
  6. Step 6: Final answer
    x = 50,623.28

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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.