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Finding the Fourth Proportional to 34,205.37, 51,294.97 and 16,431.09

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Solution

The fourth proportional to 34,205.37, 51,294.97 and 16,431.09 is: 24,640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,205.37 : 51,294.97 = 16,431.09 : x
  2. Step 2: Convert to fraction form
    34,205.37/51,294.97 = 16,431.09/x
  3. Step 3: Cross multiply
    34,205.37x = 51,294.97 × 16,431.09
  4. Step 4: Simplify right side
    34,205.37x = 842,832,268.62
  5. Step 5: Solve for x
    x = 842,832,268.62/34,205.37
  6. Step 6: Final answer
    x = 24,640.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.