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Finding the Fourth Proportional to 38,505, 57,590.73 and 22,672.29

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Solution

The fourth proportional to 38,505, 57,590.73 and 22,672.29 is: 33,910.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505 : 57,590.73 = 22,672.29 : x
  2. Step 2: Convert to fraction form
    38,505/57,590.73 = 22,672.29/x
  3. Step 3: Cross multiply
    38,505x = 57,590.73 × 22,672.29
  4. Step 4: Simplify right side
    38,505x = 1,305,713,731.87
  5. Step 5: Solve for x
    x = 1,305,713,731.87/38,505
  6. Step 6: Final answer
    x = 33,910.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.