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Finding the Fourth Proportional to 33,005, 45,546.90 and 18,101

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Solution

The fourth proportional to 33,005, 45,546.90 and 18,101 is: 24,979.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,005 : 45,546.90 = 18,101 : x
  2. Step 2: Convert to fraction form
    33,005/45,546.90 = 18,101/x
  3. Step 3: Cross multiply
    33,005x = 45,546.90 × 18,101
  4. Step 4: Simplify right side
    33,005x = 824,444,436.90
  5. Step 5: Solve for x
    x = 824,444,436.90/33,005
  6. Step 6: Final answer
    x = 24,979.38

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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.