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Finding the Fourth Proportional to 31,665.94, 43,699.30 and 17,519.09

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Solution

The fourth proportional to 31,665.94, 43,699.30 and 17,519.09 is: 24,176.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665.94 : 43,699.30 = 17,519.09 : x
  2. Step 2: Convert to fraction form
    31,665.94/43,699.30 = 17,519.09/x
  3. Step 3: Cross multiply
    31,665.94x = 43,699.30 × 17,519.09
  4. Step 4: Simplify right side
    31,665.94x = 765,571,707.34
  5. Step 5: Solve for x
    x = 765,571,707.34/31,665.94
  6. Step 6: Final answer
    x = 24,176.51

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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.