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Finding the Fourth Proportional to 78,147.44, 107,803.81 and 49,418.69

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Solution

The fourth proportional to 78,147.44, 107,803.81 and 49,418.69 is: 68,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,147.44 : 107,803.81 = 49,418.69 : x
  2. Step 2: Convert to fraction form
    78,147.44/107,803.81 = 49,418.69/x
  3. Step 3: Cross multiply
    78,147.44x = 107,803.81 × 49,418.69
  4. Step 4: Simplify right side
    78,147.44x = 5,327,523,067.21
  5. Step 5: Solve for x
    x = 5,327,523,067.21/78,147.44
  6. Step 6: Final answer
    x = 68,172.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.