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Finding the Fourth Proportional to 38,705.82, 53,414.84 and 21,938.82

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Solution

The fourth proportional to 38,705.82, 53,414.84 and 21,938.82 is: 30,276.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,705.82 : 53,414.84 = 21,938.82 : x
  2. Step 2: Convert to fraction form
    38,705.82/53,414.84 = 21,938.82/x
  3. Step 3: Cross multiply
    38,705.82x = 53,414.84 × 21,938.82
  4. Step 4: Simplify right side
    38,705.82x = 1,171,858,450.39
  5. Step 5: Solve for x
    x = 1,171,858,450.39/38,705.82
  6. Step 6: Final answer
    x = 30,276.03

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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.