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Finding the Fourth Proportional to 33,073.97, 45,642.60 and 17,966.93

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Solution

The fourth proportional to 33,073.97, 45,642.60 and 17,966.93 is: 24,794.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,073.97 : 45,642.60 = 17,966.93 : x
  2. Step 2: Convert to fraction form
    33,073.97/45,642.60 = 17,966.93/x
  3. Step 3: Cross multiply
    33,073.97x = 45,642.60 × 17,966.93
  4. Step 4: Simplify right side
    33,073.97x = 820,057,309.38
  5. Step 5: Solve for x
    x = 820,057,309.38/33,073.97
  6. Step 6: Final answer
    x = 24,794.64

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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.