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Finding the Fourth Proportional to 30,411.23, 41,967.41 and 16,982.49

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Solution

The fourth proportional to 30,411.23, 41,967.41 and 16,982.49 is: 23,435.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,411.23 : 41,967.41 = 16,982.49 : x
  2. Step 2: Convert to fraction form
    30,411.23/41,967.41 = 16,982.49/x
  3. Step 3: Cross multiply
    30,411.23x = 41,967.41 × 16,982.49
  4. Step 4: Simplify right side
    30,411.23x = 712,711,120.65
  5. Step 5: Solve for x
    x = 712,711,120.65/30,411.23
  6. Step 6: Final answer
    x = 23,435.79

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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.