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Finding the Fourth Proportional to 50,033.70, 75,125.28 and 31,431.42

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Solution

The fourth proportional to 50,033.70, 75,125.28 and 31,431.42 is: 47,194.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,033.70 : 75,125.28 = 31,431.42 : x
  2. Step 2: Convert to fraction form
    50,033.70/75,125.28 = 31,431.42/x
  3. Step 3: Cross multiply
    50,033.70x = 75,125.28 × 31,431.42
  4. Step 4: Simplify right side
    50,033.70x = 2,361,294,228.30
  5. Step 5: Solve for x
    x = 2,361,294,228.30/50,033.70
  6. Step 6: Final answer
    x = 47,194.08

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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.