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Finding the Fourth Proportional to 57,214.46, 78,957.83 and 31,723.20

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Solution

The fourth proportional to 57,214.46, 78,957.83 and 31,723.20 is: 43,779.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,214.46 : 78,957.83 = 31,723.20 : x
  2. Step 2: Convert to fraction form
    57,214.46/78,957.83 = 31,723.20/x
  3. Step 3: Cross multiply
    57,214.46x = 78,957.83 × 31,723.20
  4. Step 4: Simplify right side
    57,214.46x = 2,504,794,874.04
  5. Step 5: Solve for x
    x = 2,504,794,874.04/57,214.46
  6. Step 6: Final answer
    x = 43,779.06

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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.