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Finding the Fourth Proportional to 33,050, 45,609 and 18,146

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Solution

The fourth proportional to 33,050, 45,609 and 18,146 is: 25,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,050 : 45,609 = 18,146 : x
  2. Step 2: Convert to fraction form
    33,050/45,609 = 18,146/x
  3. Step 3: Cross multiply
    33,050x = 45,609 × 18,146
  4. Step 4: Simplify right side
    33,050x = 827,620,914
  5. Step 5: Solve for x
    x = 827,620,914/33,050
  6. Step 6: Final answer
    x = 25,041.48

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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.