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Finding the Fourth Proportional to 31,813.84, 43,902.42 and 17,666.44

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Solution

The fourth proportional to 31,813.84, 43,902.42 and 17,666.44 is: 24,379.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,813.84 : 43,902.42 = 17,666.44 : x
  2. Step 2: Convert to fraction form
    31,813.84/43,902.42 = 17,666.44/x
  3. Step 3: Cross multiply
    31,813.84x = 43,902.42 × 17,666.44
  4. Step 4: Simplify right side
    31,813.84x = 775,599,468.78
  5. Step 5: Solve for x
    x = 775,599,468.78/31,813.84
  6. Step 6: Final answer
    x = 24,379.31

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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.