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Finding the Fourth Proportional to 30,072.92, 41,500.38 and 16,644.90

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Solution

The fourth proportional to 30,072.92, 41,500.38 and 16,644.90 is: 22,969.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,072.92 : 41,500.38 = 16,644.90 : x
  2. Step 2: Convert to fraction form
    30,072.92/41,500.38 = 16,644.90/x
  3. Step 3: Cross multiply
    30,072.92x = 41,500.38 × 16,644.90
  4. Step 4: Simplify right side
    30,072.92x = 690,769,675.06
  5. Step 5: Solve for x
    x = 690,769,675.06/30,072.92
  6. Step 6: Final answer
    x = 22,969.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.