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Finding the Fourth Proportional to 31,644.84, 43,668.12 and 17,496.78

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Solution

The fourth proportional to 31,644.84, 43,668.12 and 17,496.78 is: 24,144.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.84 : 43,668.12 = 17,496.78 : x
  2. Step 2: Convert to fraction form
    31,644.84/43,668.12 = 17,496.78/x
  3. Step 3: Cross multiply
    31,644.84x = 43,668.12 × 17,496.78
  4. Step 4: Simplify right side
    31,644.84x = 764,051,488.65
  5. Step 5: Solve for x
    x = 764,051,488.65/31,644.84
  6. Step 6: Final answer
    x = 24,144.58

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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.