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Finding the Fourth Proportional to 33,977.00, 50,968.16 and 9,016.50

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Solution

The fourth proportional to 33,977.00, 50,968.16 and 9,016.50 is: 13,525.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,977.00 : 50,968.16 = 9,016.50 : x
  2. Step 2: Convert to fraction form
    33,977.00/50,968.16 = 9,016.50/x
  3. Step 3: Cross multiply
    33,977.00x = 50,968.16 × 9,016.50
  4. Step 4: Simplify right side
    33,977.00x = 459,554,369.56
  5. Step 5: Solve for x
    x = 459,554,369.56/33,977.00
  6. Step 6: Final answer
    x = 13,525.46

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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.