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Finding the Fourth Proportional to 39,714.39, 54,806.43 and 21,811

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Solution

The fourth proportional to 39,714.39, 54,806.43 and 21,811 is: 30,099.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,714.39 : 54,806.43 = 21,811 : x
  2. Step 2: Convert to fraction form
    39,714.39/54,806.43 = 21,811/x
  3. Step 3: Cross multiply
    39,714.39x = 54,806.43 × 21,811
  4. Step 4: Simplify right side
    39,714.39x = 1,195,383,044.73
  5. Step 5: Solve for x
    x = 1,195,383,044.73/39,714.39
  6. Step 6: Final answer
    x = 30,099.49

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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.