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Finding the Fourth Proportional to 104,633, 156,949.50 and 26,809

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Solution

The fourth proportional to 104,633, 156,949.50 and 26,809 is: 40,213.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,633 : 156,949.50 = 26,809 : x
  2. Step 2: Convert to fraction form
    104,633/156,949.50 = 26,809/x
  3. Step 3: Cross multiply
    104,633x = 156,949.50 × 26,809
  4. Step 4: Simplify right side
    104,633x = 4,207,659,145.50
  5. Step 5: Solve for x
    x = 4,207,659,145.50/104,633
  6. Step 6: Final answer
    x = 40,213.50

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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.