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Finding the Fourth Proportional to 31,832.99, 43,930.75 and 17,493.43

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Solution

The fourth proportional to 31,832.99, 43,930.75 and 17,493.43 is: 24,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,832.99 : 43,930.75 = 17,493.43 : x
  2. Step 2: Convert to fraction form
    31,832.99/43,930.75 = 17,493.43/x
  3. Step 3: Cross multiply
    31,832.99x = 43,930.75 × 17,493.43
  4. Step 4: Simplify right side
    31,832.99x = 768,499,280.32
  5. Step 5: Solve for x
    x = 768,499,280.32/31,832.99
  6. Step 6: Final answer
    x = 24,141.60

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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.