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Finding the Fourth Proportional to 33,977.06, 50,961.63 and 9,019.04

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Solution

The fourth proportional to 33,977.06, 50,961.63 and 9,019.04 is: 13,527.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,977.06 : 50,961.63 = 9,019.04 : x
  2. Step 2: Convert to fraction form
    33,977.06/50,961.63 = 9,019.04/x
  3. Step 3: Cross multiply
    33,977.06x = 50,961.63 × 9,019.04
  4. Step 4: Simplify right side
    33,977.06x = 459,624,934.34
  5. Step 5: Solve for x
    x = 459,624,934.34/33,977.06
  6. Step 6: Final answer
    x = 13,527.51

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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.