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Finding the Fourth Proportional to 97,793.97, 146,703.30 and 27,673.30

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Solution

The fourth proportional to 97,793.97, 146,703.30 and 27,673.30 is: 41,513.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,793.97 : 146,703.30 = 27,673.30 : x
  2. Step 2: Convert to fraction form
    97,793.97/146,703.30 = 27,673.30/x
  3. Step 3: Cross multiply
    97,793.97x = 146,703.30 × 27,673.30
  4. Step 4: Simplify right side
    97,793.97x = 4,059,764,431.89
  5. Step 5: Solve for x
    x = 4,059,764,431.89/97,793.97
  6. Step 6: Final answer
    x = 41,513.44

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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.