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Finding the Fourth Proportional to 31,596, 43,602.19 and 17,448.54

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Solution

The fourth proportional to 31,596, 43,602.19 and 17,448.54 is: 24,078.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,596 : 43,602.19 = 17,448.54 : x
  2. Step 2: Convert to fraction form
    31,596/43,602.19 = 17,448.54/x
  3. Step 3: Cross multiply
    31,596x = 43,602.19 × 17,448.54
  4. Step 4: Simplify right side
    31,596x = 760,794,556.30
  5. Step 5: Solve for x
    x = 760,794,556.30/31,596
  6. Step 6: Final answer
    x = 24,078.83

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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.