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Finding the Fourth Proportional to 165,982, 248,984.34 and 47,644.24

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Solution

The fourth proportional to 165,982, 248,984.34 and 47,644.24 is: 71,469.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,982 : 248,984.34 = 47,644.24 : x
  2. Step 2: Convert to fraction form
    165,982/248,984.34 = 47,644.24/x
  3. Step 3: Cross multiply
    165,982x = 248,984.34 × 47,644.24
  4. Step 4: Simplify right side
    165,982x = 11,862,669,651.20
  5. Step 5: Solve for x
    x = 11,862,669,651.20/165,982
  6. Step 6: Final answer
    x = 71,469.62

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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.