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Finding the Fourth Proportional to 31,916.82, 44,042.49 and 17,770.98

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Solution

The fourth proportional to 31,916.82, 44,042.49 and 17,770.98 is: 24,522.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,916.82 : 44,042.49 = 17,770.98 : x
  2. Step 2: Convert to fraction form
    31,916.82/44,042.49 = 17,770.98/x
  3. Step 3: Cross multiply
    31,916.82x = 44,042.49 × 17,770.98
  4. Step 4: Simplify right side
    31,916.82x = 782,678,208.94
  5. Step 5: Solve for x
    x = 782,678,208.94/31,916.82
  6. Step 6: Final answer
    x = 24,522.44

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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.