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Finding the Fourth Proportional to 39,717.82, 54,811.50 and 21,814

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Solution

The fourth proportional to 39,717.82, 54,811.50 and 21,814 is: 30,103.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,717.82 : 54,811.50 = 21,814 : x
  2. Step 2: Convert to fraction form
    39,717.82/54,811.50 = 21,814/x
  3. Step 3: Cross multiply
    39,717.82x = 54,811.50 × 21,814
  4. Step 4: Simplify right side
    39,717.82x = 1,195,658,061
  5. Step 5: Solve for x
    x = 1,195,658,061/39,717.82
  6. Step 6: Final answer
    x = 30,103.82

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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.