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Finding the Fourth Proportional to 33,496, 50,244 and 13,785.28

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Solution

The fourth proportional to 33,496, 50,244 and 13,785.28 is: 20,677.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,496 : 50,244 = 13,785.28 : x
  2. Step 2: Convert to fraction form
    33,496/50,244 = 13,785.28/x
  3. Step 3: Cross multiply
    33,496x = 50,244 × 13,785.28
  4. Step 4: Simplify right side
    33,496x = 692,627,608.32
  5. Step 5: Solve for x
    x = 692,627,608.32/33,496
  6. Step 6: Final answer
    x = 20,677.92

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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.