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Finding the Fourth Proportional to 33,274.53, 49,911.92 and 8,314.60

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Solution

The fourth proportional to 33,274.53, 49,911.92 and 8,314.60 is: 12,471.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,274.53 : 49,911.92 = 8,314.60 : x
  2. Step 2: Convert to fraction form
    33,274.53/49,911.92 = 8,314.60/x
  3. Step 3: Cross multiply
    33,274.53x = 49,911.92 × 8,314.60
  4. Step 4: Simplify right side
    33,274.53x = 414,997,697.64
  5. Step 5: Solve for x
    x = 414,997,697.64/33,274.53
  6. Step 6: Final answer
    x = 12,471.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.