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Finding the Fourth Proportional to 57,004.57, 78,665.74 and 31,854.07

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Solution

The fourth proportional to 57,004.57, 78,665.74 and 31,854.07 is: 43,958.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,004.57 : 78,665.74 = 31,854.07 : x
  2. Step 2: Convert to fraction form
    57,004.57/78,665.74 = 31,854.07/x
  3. Step 3: Cross multiply
    57,004.57x = 78,665.74 × 31,854.07
  4. Step 4: Simplify right side
    57,004.57x = 2,505,823,988.56
  5. Step 5: Solve for x
    x = 2,505,823,988.56/57,004.57
  6. Step 6: Final answer
    x = 43,958.30

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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.