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Finding the Fourth Proportional to 127,094.24, 190,642.08 and 33,599

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Solution

The fourth proportional to 127,094.24, 190,642.08 and 33,599 is: 50,398.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,094.24 : 190,642.08 = 33,599 : x
  2. Step 2: Convert to fraction form
    127,094.24/190,642.08 = 33,599/x
  3. Step 3: Cross multiply
    127,094.24x = 190,642.08 × 33,599
  4. Step 4: Simplify right side
    127,094.24x = 6,405,383,245.92
  5. Step 5: Solve for x
    x = 6,405,383,245.92/127,094.24
  6. Step 6: Final answer
    x = 50,398.69

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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.