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Finding the Fourth Proportional to 50,296.64, 75,438.24 and 31,578.56

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Solution

The fourth proportional to 50,296.64, 75,438.24 and 31,578.56 is: 47,363.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,296.64 : 75,438.24 = 31,578.56 : x
  2. Step 2: Convert to fraction form
    50,296.64/75,438.24 = 31,578.56/x
  3. Step 3: Cross multiply
    50,296.64x = 75,438.24 × 31,578.56
  4. Step 4: Simplify right side
    50,296.64x = 2,382,230,988.13
  5. Step 5: Solve for x
    x = 2,382,230,988.13/50,296.64
  6. Step 6: Final answer
    x = 47,363.62

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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.