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Finding the Fourth Proportional to 165,674.10, 248,519.79 and 47,363.34

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Solution

The fourth proportional to 165,674.10, 248,519.79 and 47,363.34 is: 71,047.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,674.10 : 248,519.79 = 47,363.34 : x
  2. Step 2: Convert to fraction form
    165,674.10/248,519.79 = 47,363.34/x
  3. Step 3: Cross multiply
    165,674.10x = 248,519.79 × 47,363.34
  4. Step 4: Simplify right side
    165,674.10x = 11,770,727,310.50
  5. Step 5: Solve for x
    x = 11,770,727,310.50/165,674.10
  6. Step 6: Final answer
    x = 71,047.48

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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.