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Finding the Fourth Proportional to 57,227.72, 78,978.87 and 31,742.06

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Solution

The fourth proportional to 57,227.72, 78,978.87 and 31,742.06 is: 43,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,227.72 : 78,978.87 = 31,742.06 : x
  2. Step 2: Convert to fraction form
    57,227.72/78,978.87 = 31,742.06/x
  3. Step 3: Cross multiply
    57,227.72x = 78,978.87 × 31,742.06
  4. Step 4: Simplify right side
    57,227.72x = 2,506,951,635.38
  5. Step 5: Solve for x
    x = 2,506,951,635.38/57,227.72
  6. Step 6: Final answer
    x = 43,806.60

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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.