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Finding the Fourth Proportional to 33,204.72, 49,821.81 and 17,406

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Solution

The fourth proportional to 33,204.72, 49,821.81 and 17,406 is: 26,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,204.72 : 49,821.81 = 17,406 : x
  2. Step 2: Convert to fraction form
    33,204.72/49,821.81 = 17,406/x
  3. Step 3: Cross multiply
    33,204.72x = 49,821.81 × 17,406
  4. Step 4: Simplify right side
    33,204.72x = 867,198,424.86
  5. Step 5: Solve for x
    x = 867,198,424.86/33,204.72
  6. Step 6: Final answer
    x = 26,116.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.