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Finding the Fourth Proportional to 31,690.88, 43,763.05 and 20,380.02

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Solution

The fourth proportional to 31,690.88, 43,763.05 and 20,380.02 is: 28,143.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,690.88 : 43,763.05 = 20,380.02 : x
  2. Step 2: Convert to fraction form
    31,690.88/43,763.05 = 20,380.02/x
  3. Step 3: Cross multiply
    31,690.88x = 43,763.05 × 20,380.02
  4. Step 4: Simplify right side
    31,690.88x = 891,891,783.31
  5. Step 5: Solve for x
    x = 891,891,783.31/31,690.88
  6. Step 6: Final answer
    x = 28,143.48

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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.