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Finding the Fourth Proportional to 33,453, 50,182.74 and 11,271.96

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Solution

The fourth proportional to 33,453, 50,182.74 and 11,271.96 is: 16,909.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,453 : 50,182.74 = 11,271.96 : x
  2. Step 2: Convert to fraction form
    33,453/50,182.74 = 11,271.96/x
  3. Step 3: Cross multiply
    33,453x = 50,182.74 × 11,271.96
  4. Step 4: Simplify right side
    33,453x = 565,657,837.97
  5. Step 5: Solve for x
    x = 565,657,837.97/33,453
  6. Step 6: Final answer
    x = 16,909.03

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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.