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Finding the Fourth Proportional to 57,074.50, 78,761.28 and 31,580.20

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Solution

The fourth proportional to 57,074.50, 78,761.28 and 31,580.20 is: 43,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,074.50 : 78,761.28 = 31,580.20 : x
  2. Step 2: Convert to fraction form
    57,074.50/78,761.28 = 31,580.20/x
  3. Step 3: Cross multiply
    57,074.50x = 78,761.28 × 31,580.20
  4. Step 4: Simplify right side
    57,074.50x = 2,487,296,974.66
  5. Step 5: Solve for x
    x = 2,487,296,974.66/57,074.50
  6. Step 6: Final answer
    x = 43,579.83

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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.