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Finding the Fourth Proportional to 138,563.52, 207,845.37 and 33,382.59

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Solution

The fourth proportional to 138,563.52, 207,845.37 and 33,382.59 is: 50,073.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,563.52 : 207,845.37 = 33,382.59 : x
  2. Step 2: Convert to fraction form
    138,563.52/207,845.37 = 33,382.59/x
  3. Step 3: Cross multiply
    138,563.52x = 207,845.37 × 33,382.59
  4. Step 4: Simplify right side
    138,563.52x = 6,938,416,770.11
  5. Step 5: Solve for x
    x = 6,938,416,770.11/138,563.52
  6. Step 6: Final answer
    x = 50,073.91

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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.