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Finding the Fourth Proportional to 51,735.48, 71,394.54 and 29,379

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Solution

The fourth proportional to 51,735.48, 71,394.54 and 29,379 is: 40,542.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,735.48 : 71,394.54 = 29,379 : x
  2. Step 2: Convert to fraction form
    51,735.48/71,394.54 = 29,379/x
  3. Step 3: Cross multiply
    51,735.48x = 71,394.54 × 29,379
  4. Step 4: Simplify right side
    51,735.48x = 2,097,500,190.66
  5. Step 5: Solve for x
    x = 2,097,500,190.66/51,735.48
  6. Step 6: Final answer
    x = 40,542.78

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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.