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Finding the Fourth Proportional to 33,726, 50,554.44 and 14,016

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Solution

The fourth proportional to 33,726, 50,554.44 and 14,016 is: 21,009.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,726 : 50,554.44 = 14,016 : x
  2. Step 2: Convert to fraction form
    33,726/50,554.44 = 14,016/x
  3. Step 3: Cross multiply
    33,726x = 50,554.44 × 14,016
  4. Step 4: Simplify right side
    33,726x = 708,571,031.04
  5. Step 5: Solve for x
    x = 708,571,031.04/33,726
  6. Step 6: Final answer
    x = 21,009.64

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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.