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Finding the Fourth Proportional to 57,741.38, 79,683.34 and 31,245.38

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Solution

The fourth proportional to 57,741.38, 79,683.34 and 31,245.38 is: 43,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,741.38 : 79,683.34 = 31,245.38 : x
  2. Step 2: Convert to fraction form
    57,741.38/79,683.34 = 31,245.38/x
  3. Step 3: Cross multiply
    57,741.38x = 79,683.34 × 31,245.38
  4. Step 4: Simplify right side
    57,741.38x = 2,489,735,761.44
  5. Step 5: Solve for x
    x = 2,489,735,761.44/57,741.38
  6. Step 6: Final answer
    x = 43,118.75

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Why These Related Problems?

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