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Finding the Fourth Proportional to 33,051, 45,610.74 and 18,147

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Solution

The fourth proportional to 33,051, 45,610.74 and 18,147 is: 25,043.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051 : 45,610.74 = 18,147 : x
  2. Step 2: Convert to fraction form
    33,051/45,610.74 = 18,147/x
  3. Step 3: Cross multiply
    33,051x = 45,610.74 × 18,147
  4. Step 4: Simplify right side
    33,051x = 827,698,098.78
  5. Step 5: Solve for x
    x = 827,698,098.78/33,051
  6. Step 6: Final answer
    x = 25,043.06

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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.