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Finding the Fourth Proportional to 39,834, 54,974.58 and 21,932.64

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Solution

The fourth proportional to 39,834, 54,974.58 and 21,932.64 is: 30,269.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,834 : 54,974.58 = 21,932.64 : x
  2. Step 2: Convert to fraction form
    39,834/54,974.58 = 21,932.64/x
  3. Step 3: Cross multiply
    39,834x = 54,974.58 × 21,932.64
  4. Step 4: Simplify right side
    39,834x = 1,205,737,672.29
  5. Step 5: Solve for x
    x = 1,205,737,672.29/39,834
  6. Step 6: Final answer
    x = 30,269.06

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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.