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Finding the Fourth Proportional to 57,120.34, 78,829.00 and 31,629.49

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Solution

The fourth proportional to 57,120.34, 78,829.00 and 31,629.49 is: 43,650.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,120.34 : 78,829.00 = 31,629.49 : x
  2. Step 2: Convert to fraction form
    57,120.34/78,829.00 = 31,629.49/x
  3. Step 3: Cross multiply
    57,120.34x = 78,829.00 × 31,629.49
  4. Step 4: Simplify right side
    57,120.34x = 2,493,320,791.06
  5. Step 5: Solve for x
    x = 2,493,320,791.06/57,120.34
  6. Step 6: Final answer
    x = 43,650.31

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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.