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Finding the Fourth Proportional to 76,578.72, 114,924.24 and 50,274.24

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Solution

The fourth proportional to 76,578.72, 114,924.24 and 50,274.24 is: 75,448.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,578.72 : 114,924.24 = 50,274.24 : x
  2. Step 2: Convert to fraction form
    76,578.72/114,924.24 = 50,274.24/x
  3. Step 3: Cross multiply
    76,578.72x = 114,924.24 × 50,274.24
  4. Step 4: Simplify right side
    76,578.72x = 5,777,728,823.58
  5. Step 5: Solve for x
    x = 5,777,728,823.58/76,578.72
  6. Step 6: Final answer
    x = 75,448.23

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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.