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Finding the Fourth Proportional to 33,116.92, 49,677.80 and 9,744.37

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Solution

The fourth proportional to 33,116.92, 49,677.80 and 9,744.37 is: 14,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,116.92 : 49,677.80 = 9,744.37 : x
  2. Step 2: Convert to fraction form
    33,116.92/49,677.80 = 9,744.37/x
  3. Step 3: Cross multiply
    33,116.92x = 49,677.80 × 9,744.37
  4. Step 4: Simplify right side
    33,116.92x = 484,078,863.99
  5. Step 5: Solve for x
    x = 484,078,863.99/33,116.92
  6. Step 6: Final answer
    x = 14,617.27

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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.