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Finding the Fourth Proportional to 57,691.39, 86,309.50 and 43,691.86

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Solution

The fourth proportional to 57,691.39, 86,309.50 and 43,691.86 is: 65,365.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,691.39 : 86,309.50 = 43,691.86 : x
  2. Step 2: Convert to fraction form
    57,691.39/86,309.50 = 43,691.86/x
  3. Step 3: Cross multiply
    57,691.39x = 86,309.50 × 43,691.86
  4. Step 4: Simplify right side
    57,691.39x = 3,771,022,185.76
  5. Step 5: Solve for x
    x = 3,771,022,185.76/57,691.39
  6. Step 6: Final answer
    x = 65,365.43

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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.