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Finding the Fourth Proportional to 33,197.82, 45,813.22 and 19,769.64

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Solution

The fourth proportional to 33,197.82, 45,813.22 and 19,769.64 is: 27,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,197.82 : 45,813.22 = 19,769.64 : x
  2. Step 2: Convert to fraction form
    33,197.82/45,813.22 = 19,769.64/x
  3. Step 3: Cross multiply
    33,197.82x = 45,813.22 × 19,769.64
  4. Step 4: Simplify right side
    33,197.82x = 905,710,866.64
  5. Step 5: Solve for x
    x = 905,710,866.64/33,197.82
  6. Step 6: Final answer
    x = 27,282.24

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1.5x scale

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.