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Finding the Fourth Proportional to 30,589.43, 45,853.16 and 20,729.70

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Solution

The fourth proportional to 30,589.43, 45,853.16 and 20,729.70 is: 31,073.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,589.43 : 45,853.16 = 20,729.70 : x
  2. Step 2: Convert to fraction form
    30,589.43/45,853.16 = 20,729.70/x
  3. Step 3: Cross multiply
    30,589.43x = 45,853.16 × 20,729.70
  4. Step 4: Simplify right side
    30,589.43x = 950,522,147.20
  5. Step 5: Solve for x
    x = 950,522,147.20/30,589.43
  6. Step 6: Final answer
    x = 31,073.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.