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Finding the Fourth Proportional to 30,540.43, 45,782.45 and 21,184.85

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Solution

The fourth proportional to 30,540.43, 45,782.45 and 21,184.85 is: 31,757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,540.43 : 45,782.45 = 21,184.85 : x
  2. Step 2: Convert to fraction form
    30,540.43/45,782.45 = 21,184.85/x
  3. Step 3: Cross multiply
    30,540.43x = 45,782.45 × 21,184.85
  4. Step 4: Simplify right side
    30,540.43x = 969,894,577.61
  5. Step 5: Solve for x
    x = 969,894,577.61/30,540.43
  6. Step 6: Final answer
    x = 31,757.73

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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.