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Finding the Fourth Proportional to 33,754.89, 46,595.02 and 22,267.97

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Solution

The fourth proportional to 33,754.89, 46,595.02 and 22,267.97 is: 30,738.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,754.89 : 46,595.02 = 22,267.97 : x
  2. Step 2: Convert to fraction form
    33,754.89/46,595.02 = 22,267.97/x
  3. Step 3: Cross multiply
    33,754.89x = 46,595.02 × 22,267.97
  4. Step 4: Simplify right side
    33,754.89x = 1,037,576,507.51
  5. Step 5: Solve for x
    x = 1,037,576,507.51/33,754.89
  6. Step 6: Final answer
    x = 30,738.55

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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.