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Finding the Fourth Proportional to 57,078.24, 78,761.22 and 31,581.22

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Solution

The fourth proportional to 57,078.24, 78,761.22 and 31,581.22 is: 43,578.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,078.24 : 78,761.22 = 31,581.22 : x
  2. Step 2: Convert to fraction form
    57,078.24/78,761.22 = 31,581.22/x
  3. Step 3: Cross multiply
    57,078.24x = 78,761.22 × 31,581.22
  4. Step 4: Simplify right side
    57,078.24x = 2,487,375,416.29
  5. Step 5: Solve for x
    x = 2,487,375,416.29/57,078.24
  6. Step 6: Final answer
    x = 43,578.35

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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.