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Finding the Fourth Proportional to 33,536, 50,327.04 and 11,648

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Solution

The fourth proportional to 33,536, 50,327.04 and 11,648 is: 17,480.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,536 : 50,327.04 = 11,648 : x
  2. Step 2: Convert to fraction form
    33,536/50,327.04 = 11,648/x
  3. Step 3: Cross multiply
    33,536x = 50,327.04 × 11,648
  4. Step 4: Simplify right side
    33,536x = 586,209,361.92
  5. Step 5: Solve for x
    x = 586,209,361.92/33,536
  6. Step 6: Final answer
    x = 17,480.00

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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.