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Finding the Fourth Proportional to 39,648, 54,709.22 and 21,738.30

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Solution

The fourth proportional to 39,648, 54,709.22 and 21,738.30 is: 29,996.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,648 : 54,709.22 = 21,738.30 : x
  2. Step 2: Convert to fraction form
    39,648/54,709.22 = 21,738.30/x
  3. Step 3: Cross multiply
    39,648x = 54,709.22 × 21,738.30
  4. Step 4: Simplify right side
    39,648x = 1,189,285,328.43
  5. Step 5: Solve for x
    x = 1,189,285,328.43/39,648
  6. Step 6: Final answer
    x = 29,996.10

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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.