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Finding the Fourth Proportional to 31,616.72, 43,612.82 and 20,282.20

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Solution

The fourth proportional to 31,616.72, 43,612.82 and 20,282.20 is: 27,977.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,616.72 : 43,612.82 = 20,282.20 : x
  2. Step 2: Convert to fraction form
    31,616.72/43,612.82 = 20,282.20/x
  3. Step 3: Cross multiply
    31,616.72x = 43,612.82 × 20,282.20
  4. Step 4: Simplify right side
    31,616.72x = 884,563,937.80
  5. Step 5: Solve for x
    x = 884,563,937.80/31,616.72
  6. Step 6: Final answer
    x = 27,977.73

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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.