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Finding the Fourth Proportional to 33,028.23, 45,616.82 and 21,748.16

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Solution

The fourth proportional to 33,028.23, 45,616.82 and 21,748.16 is: 30,037.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,028.23 : 45,616.82 = 21,748.16 : x
  2. Step 2: Convert to fraction form
    33,028.23/45,616.82 = 21,748.16/x
  3. Step 3: Cross multiply
    33,028.23x = 45,616.82 × 21,748.16
  4. Step 4: Simplify right side
    33,028.23x = 992,081,771.09
  5. Step 5: Solve for x
    x = 992,081,771.09/33,028.23
  6. Step 6: Final answer
    x = 30,037.38

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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.