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Finding the Fourth Proportional to 33,509.96, 50,264.97 and 10,136.42

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Solution

The fourth proportional to 33,509.96, 50,264.97 and 10,136.42 is: 15,204.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,509.96 : 50,264.97 = 10,136.42 : x
  2. Step 2: Convert to fraction form
    33,509.96/50,264.97 = 10,136.42/x
  3. Step 3: Cross multiply
    33,509.96x = 50,264.97 × 10,136.42
  4. Step 4: Simplify right side
    33,509.96x = 509,506,847.21
  5. Step 5: Solve for x
    x = 509,506,847.21/33,509.96
  6. Step 6: Final answer
    x = 15,204.64

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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.