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Finding the Fourth Proportional to 33,977.68, 50,962.56 and 9,019.67

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Solution

The fourth proportional to 33,977.68, 50,962.56 and 9,019.67 is: 13,528.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,977.68 : 50,962.56 = 9,019.67 : x
  2. Step 2: Convert to fraction form
    33,977.68/50,962.56 = 9,019.67/x
  3. Step 3: Cross multiply
    33,977.68x = 50,962.56 × 9,019.67
  4. Step 4: Simplify right side
    33,977.68x = 459,665,409.85
  5. Step 5: Solve for x
    x = 459,665,409.85/33,977.68
  6. Step 6: Final answer
    x = 13,528.45

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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.