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Finding the Fourth Proportional to 33,093, 45,669.06 and 18,189

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Solution

The fourth proportional to 33,093, 45,669.06 and 18,189 is: 25,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,093 : 45,669.06 = 18,189 : x
  2. Step 2: Convert to fraction form
    33,093/45,669.06 = 18,189/x
  3. Step 3: Cross multiply
    33,093x = 45,669.06 × 18,189
  4. Step 4: Simplify right side
    33,093x = 830,674,532.34
  5. Step 5: Solve for x
    x = 830,674,532.34/33,093
  6. Step 6: Final answer
    x = 25,101.22

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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.