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Finding the Fourth Proportional to 39,814.67, 54,942.86 and 21,908.00

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Solution

The fourth proportional to 39,814.67, 54,942.86 and 21,908.00 is: 30,232.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,814.67 : 54,942.86 = 21,908.00 : x
  2. Step 2: Convert to fraction form
    39,814.67/54,942.86 = 21,908.00/x
  3. Step 3: Cross multiply
    39,814.67x = 54,942.86 × 21,908.00
  4. Step 4: Simplify right side
    39,814.67x = 1,203,687,847.40
  5. Step 5: Solve for x
    x = 1,203,687,847.40/39,814.67
  6. Step 6: Final answer
    x = 30,232.27

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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.