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Finding the Fourth Proportional to 50,394.53, 75,616.38 and 31,683.36

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Solution

The fourth proportional to 50,394.53, 75,616.38 and 31,683.36 is: 47,540.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,394.53 : 75,616.38 = 31,683.36 : x
  2. Step 2: Convert to fraction form
    50,394.53/75,616.38 = 31,683.36/x
  3. Step 3: Cross multiply
    50,394.53x = 75,616.38 × 31,683.36
  4. Step 4: Simplify right side
    50,394.53x = 2,395,780,989.44
  5. Step 5: Solve for x
    x = 2,395,780,989.44/50,394.53
  6. Step 6: Final answer
    x = 47,540.50

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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.