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Finding the Fourth Proportional to 31,682.84, 43,714.89 and 21,632.21

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Solution

The fourth proportional to 31,682.84, 43,714.89 and 21,632.21 is: 29,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,682.84 : 43,714.89 = 21,632.21 : x
  2. Step 2: Convert to fraction form
    31,682.84/43,714.89 = 21,632.21/x
  3. Step 3: Cross multiply
    31,682.84x = 43,714.89 × 21,632.21
  4. Step 4: Simplify right side
    31,682.84x = 945,649,680.61
  5. Step 5: Solve for x
    x = 945,649,680.61/31,682.84
  6. Step 6: Final answer
    x = 29,847.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.