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Finding the Fourth Proportional to 75,194, 112,772.52 and 33,084.66

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Solution

The fourth proportional to 75,194, 112,772.52 and 33,084.66 is: 49,618.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,194 : 112,772.52 = 33,084.66 : x
  2. Step 2: Convert to fraction form
    75,194/112,772.52 = 33,084.66/x
  3. Step 3: Cross multiply
    75,194x = 112,772.52 × 33,084.66
  4. Step 4: Simplify right side
    75,194x = 3,731,040,481.54
  5. Step 5: Solve for x
    x = 3,731,040,481.54/75,194
  6. Step 6: Final answer
    x = 49,618.86

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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.