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Finding the Fourth Proportional to 127,093.50, 190,640.26 and 33,599.26

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Solution

The fourth proportional to 127,093.50, 190,640.26 and 33,599.26 is: 50,398.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,093.50 : 190,640.26 = 33,599.26 : x
  2. Step 2: Convert to fraction form
    127,093.50/190,640.26 = 33,599.26/x
  3. Step 3: Cross multiply
    127,093.50x = 190,640.26 × 33,599.26
  4. Step 4: Simplify right side
    127,093.50x = 6,405,371,662.21
  5. Step 5: Solve for x
    x = 6,405,371,662.21/127,093.50
  6. Step 6: Final answer
    x = 50,398.89

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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.