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Finding the Fourth Proportional to 30,141.80, 41,589.30 and 18,202.82

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Solution

The fourth proportional to 30,141.80, 41,589.30 and 18,202.82 is: 25,116.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,141.80 : 41,589.30 = 18,202.82 : x
  2. Step 2: Convert to fraction form
    30,141.80/41,589.30 = 18,202.82/x
  3. Step 3: Cross multiply
    30,141.80x = 41,589.30 × 18,202.82
  4. Step 4: Simplify right side
    30,141.80x = 757,042,541.83
  5. Step 5: Solve for x
    x = 757,042,541.83/30,141.80
  6. Step 6: Final answer
    x = 25,116.04

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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.