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Finding the Fourth Proportional to 31,578.42, 43,576.74 and 18,140.22

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Solution

The fourth proportional to 31,578.42, 43,576.74 and 18,140.22 is: 25,032.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,578.42 : 43,576.74 = 18,140.22 : x
  2. Step 2: Convert to fraction form
    31,578.42/43,576.74 = 18,140.22/x
  3. Step 3: Cross multiply
    31,578.42x = 43,576.74 × 18,140.22
  4. Step 4: Simplify right side
    31,578.42x = 790,491,650.48
  5. Step 5: Solve for x
    x = 790,491,650.48/31,578.42
  6. Step 6: Final answer
    x = 25,032.65

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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.