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Finding the Fourth Proportional to 57,242.32, 78,993.22 and 31,744.57

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Solution

The fourth proportional to 57,242.32, 78,993.22 and 31,744.57 is: 43,806.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,242.32 : 78,993.22 = 31,744.57 : x
  2. Step 2: Convert to fraction form
    57,242.32/78,993.22 = 31,744.57/x
  3. Step 3: Cross multiply
    57,242.32x = 78,993.22 × 31,744.57
  4. Step 4: Simplify right side
    57,242.32x = 2,507,605,801.82
  5. Step 5: Solve for x
    x = 2,507,605,801.82/57,242.32
  6. Step 6: Final answer
    x = 43,806.85

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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.