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Finding the Fourth Proportional to 31,771.23, 43,843.89 and 17,235.20

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Solution

The fourth proportional to 31,771.23, 43,843.89 and 17,235.20 is: 23,784.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,771.23 : 43,843.89 = 17,235.20 : x
  2. Step 2: Convert to fraction form
    31,771.23/43,843.89 = 17,235.20/x
  3. Step 3: Cross multiply
    31,771.23x = 43,843.89 × 17,235.20
  4. Step 4: Simplify right side
    31,771.23x = 755,658,387.17
  5. Step 5: Solve for x
    x = 755,658,387.17/31,771.23
  6. Step 6: Final answer
    x = 23,784.36

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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.