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Finding the Fourth Proportional to 57,689, 79,611.06 and 31,193

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Solution

The fourth proportional to 57,689, 79,611.06 and 31,193 is: 43,046.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,689 : 79,611.06 = 31,193 : x
  2. Step 2: Convert to fraction form
    57,689/79,611.06 = 31,193/x
  3. Step 3: Cross multiply
    57,689x = 79,611.06 × 31,193
  4. Step 4: Simplify right side
    57,689x = 2,483,307,794.58
  5. Step 5: Solve for x
    x = 2,483,307,794.58/57,689
  6. Step 6: Final answer
    x = 43,046.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.