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Finding the Fourth Proportional to 57,081, 78,771.78 and 31,930.50

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Solution

The fourth proportional to 57,081, 78,771.78 and 31,930.50 is: 44,064.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,081 : 78,771.78 = 31,930.50 : x
  2. Step 2: Convert to fraction form
    57,081/78,771.78 = 31,930.50/x
  3. Step 3: Cross multiply
    57,081x = 78,771.78 × 31,930.50
  4. Step 4: Simplify right side
    57,081x = 2,515,222,321.29
  5. Step 5: Solve for x
    x = 2,515,222,321.29/57,081
  6. Step 6: Final answer
    x = 44,064.09

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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.