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Finding the Fourth Proportional to 33,048, 45,606.96 and 18,144

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Solution

The fourth proportional to 33,048, 45,606.96 and 18,144 is: 25,039.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,048 : 45,606.96 = 18,144 : x
  2. Step 2: Convert to fraction form
    33,048/45,606.96 = 18,144/x
  3. Step 3: Cross multiply
    33,048x = 45,606.96 × 18,144
  4. Step 4: Simplify right side
    33,048x = 827,492,682.24
  5. Step 5: Solve for x
    x = 827,492,682.24/33,048
  6. Step 6: Final answer
    x = 25,039.12

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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.