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Finding the Fourth Proportional to 33,201, 45,817.38 and 18,297

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Solution

The fourth proportional to 33,201, 45,817.38 and 18,297 is: 25,249.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,201 : 45,817.38 = 18,297 : x
  2. Step 2: Convert to fraction form
    33,201/45,817.38 = 18,297/x
  3. Step 3: Cross multiply
    33,201x = 45,817.38 × 18,297
  4. Step 4: Simplify right side
    33,201x = 838,320,601.86
  5. Step 5: Solve for x
    x = 838,320,601.86/33,201
  6. Step 6: Final answer
    x = 25,249.86

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Why These Related Problems?

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