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Finding the Fourth Proportional to 35,821.69, 49,432.44 and 19,906

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Solution

The fourth proportional to 35,821.69, 49,432.44 and 19,906 is: 27,469.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,821.69 : 49,432.44 = 19,906 : x
  2. Step 2: Convert to fraction form
    35,821.69/49,432.44 = 19,906/x
  3. Step 3: Cross multiply
    35,821.69x = 49,432.44 × 19,906
  4. Step 4: Simplify right side
    35,821.69x = 984,002,150.64
  5. Step 5: Solve for x
    x = 984,002,150.64/35,821.69
  6. Step 6: Final answer
    x = 27,469.45

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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.