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Finding the Fourth Proportional to 33,000, 45,540 and 18,096

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Solution

The fourth proportional to 33,000, 45,540 and 18,096 is: 24,972.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,000 : 45,540 = 18,096 : x
  2. Step 2: Convert to fraction form
    33,000/45,540 = 18,096/x
  3. Step 3: Cross multiply
    33,000x = 45,540 × 18,096
  4. Step 4: Simplify right side
    33,000x = 824,091,840
  5. Step 5: Solve for x
    x = 824,091,840/33,000
  6. Step 6: Final answer
    x = 24,972.48

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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.