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Finding the Fourth Proportional to 39,800.84, 54,923 and 21,892.96

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Solution

The fourth proportional to 39,800.84, 54,923 and 21,892.96 is: 30,211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,800.84 : 54,923 = 21,892.96 : x
  2. Step 2: Convert to fraction form
    39,800.84/54,923 = 21,892.96/x
  3. Step 3: Cross multiply
    39,800.84x = 54,923 × 21,892.96
  4. Step 4: Simplify right side
    39,800.84x = 1,202,427,042.08
  5. Step 5: Solve for x
    x = 1,202,427,042.08/39,800.84
  6. Step 6: Final answer
    x = 30,211.10

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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.