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Finding the Fourth Proportional to 127,188.75, 190,786.77 and 33,694.50

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Solution

The fourth proportional to 127,188.75, 190,786.77 and 33,694.50 is: 50,542.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,188.75 : 190,786.77 = 33,694.50 : x
  2. Step 2: Convert to fraction form
    127,188.75/190,786.77 = 33,694.50/x
  3. Step 3: Cross multiply
    127,188.75x = 190,786.77 × 33,694.50
  4. Step 4: Simplify right side
    127,188.75x = 6,428,464,821.77
  5. Step 5: Solve for x
    x = 6,428,464,821.77/127,188.75
  6. Step 6: Final answer
    x = 50,542.72

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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.