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Finding the Fourth Proportional to 33,305, 45,964.26 and 18,401

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Solution

The fourth proportional to 33,305, 45,964.26 and 18,401 is: 25,395.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,305 : 45,964.26 = 18,401 : x
  2. Step 2: Convert to fraction form
    33,305/45,964.26 = 18,401/x
  3. Step 3: Cross multiply
    33,305x = 45,964.26 × 18,401
  4. Step 4: Simplify right side
    33,305x = 845,788,348.26
  5. Step 5: Solve for x
    x = 845,788,348.26/33,305
  6. Step 6: Final answer
    x = 25,395.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.