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Finding the Fourth Proportional to 54,107.82, 74,608.02 and 34,962.39

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Solution

The fourth proportional to 54,107.82, 74,608.02 and 34,962.39 is: 48,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,107.82 : 74,608.02 = 34,962.39 : x
  2. Step 2: Convert to fraction form
    54,107.82/74,608.02 = 34,962.39/x
  3. Step 3: Cross multiply
    54,107.82x = 74,608.02 × 34,962.39
  4. Step 4: Simplify right side
    54,107.82x = 2,608,474,692.37
  5. Step 5: Solve for x
    x = 2,608,474,692.37/54,107.82
  6. Step 6: Final answer
    x = 48,208.83

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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.