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Finding the Fourth Proportional to 57,135.23, 85,735.25 and 30,839.39

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Solution

The fourth proportional to 57,135.23, 85,735.25 and 30,839.39 is: 46,276.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,135.23 : 85,735.25 = 30,839.39 : x
  2. Step 2: Convert to fraction form
    57,135.23/85,735.25 = 30,839.39/x
  3. Step 3: Cross multiply
    57,135.23x = 85,735.25 × 30,839.39
  4. Step 4: Simplify right side
    57,135.23x = 2,644,022,811.50
  5. Step 5: Solve for x
    x = 2,644,022,811.50/57,135.23
  6. Step 6: Final answer
    x = 46,276.58

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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.