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Finding the Fourth Proportional to 51,982.35, 71,734.04 and 29,321.02

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Solution

The fourth proportional to 51,982.35, 71,734.04 and 29,321.02 is: 40,462.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,982.35 : 71,734.04 = 29,321.02 : x
  2. Step 2: Convert to fraction form
    51,982.35/71,734.04 = 29,321.02/x
  3. Step 3: Cross multiply
    51,982.35x = 71,734.04 × 29,321.02
  4. Step 4: Simplify right side
    51,982.35x = 2,103,314,716.25
  5. Step 5: Solve for x
    x = 2,103,314,716.25/51,982.35
  6. Step 6: Final answer
    x = 40,462.09

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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.