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Finding the Fourth Proportional to 77,422.25, 116,144.93 and 27,498.15

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Solution

The fourth proportional to 77,422.25, 116,144.93 and 27,498.15 is: 41,251.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,422.25 : 116,144.93 = 27,498.15 : x
  2. Step 2: Convert to fraction form
    77,422.25/116,144.93 = 27,498.15/x
  3. Step 3: Cross multiply
    77,422.25x = 116,144.93 × 27,498.15
  4. Step 4: Simplify right side
    77,422.25x = 3,193,770,775.62
  5. Step 5: Solve for x
    x = 3,193,770,775.62/77,422.25
  6. Step 6: Final answer
    x = 41,251.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.