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Finding the Fourth Proportional to 33,838.17, 50,757.95 and 10,464.60

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Solution

The fourth proportional to 33,838.17, 50,757.95 and 10,464.60 is: 15,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838.17 : 50,757.95 = 10,464.60 : x
  2. Step 2: Convert to fraction form
    33,838.17/50,757.95 = 10,464.60/x
  3. Step 3: Cross multiply
    33,838.17x = 50,757.95 × 10,464.60
  4. Step 4: Simplify right side
    33,838.17x = 531,161,643.57
  5. Step 5: Solve for x
    x = 531,161,643.57/33,838.17
  6. Step 6: Final answer
    x = 15,697.11

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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.