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Finding the Fourth Proportional to 38,849.44, 53,608.44 and 21,849.70

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Solution

The fourth proportional to 38,849.44, 53,608.44 and 21,849.70 is: 30,150.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,849.44 : 53,608.44 = 21,849.70 : x
  2. Step 2: Convert to fraction form
    38,849.44/53,608.44 = 21,849.70/x
  3. Step 3: Cross multiply
    38,849.44x = 53,608.44 × 21,849.70
  4. Step 4: Simplify right side
    38,849.44x = 1,171,328,331.47
  5. Step 5: Solve for x
    x = 1,171,328,331.47/38,849.44
  6. Step 6: Final answer
    x = 30,150.46

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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.