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Finding the Fourth Proportional to 50,578.25, 75,809.74 and 31,611.60

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Solution

The fourth proportional to 50,578.25, 75,809.74 and 31,611.60 is: 47,381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,578.25 : 75,809.74 = 31,611.60 : x
  2. Step 2: Convert to fraction form
    50,578.25/75,809.74 = 31,611.60/x
  3. Step 3: Cross multiply
    50,578.25x = 75,809.74 × 31,611.60
  4. Step 4: Simplify right side
    50,578.25x = 2,396,467,343.69
  5. Step 5: Solve for x
    x = 2,396,467,343.69/50,578.25
  6. Step 6: Final answer
    x = 47,381.38

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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.