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Finding the Fourth Proportional to 127,186, 190,782.65 and 33,691.75

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Solution

The fourth proportional to 127,186, 190,782.65 and 33,691.75 is: 50,538.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,186 : 190,782.65 = 33,691.75 : x
  2. Step 2: Convert to fraction form
    127,186/190,782.65 = 33,691.75/x
  3. Step 3: Cross multiply
    127,186x = 190,782.65 × 33,691.75
  4. Step 4: Simplify right side
    127,186x = 6,427,801,348.14
  5. Step 5: Solve for x
    x = 6,427,801,348.14/127,186
  6. Step 6: Final answer
    x = 50,538.59

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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.