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Finding the Fourth Proportional to 109,879.96, 164,819.93 and 50,683.33

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Solution

The fourth proportional to 109,879.96, 164,819.93 and 50,683.33 is: 76,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,879.96 : 164,819.93 = 50,683.33 : x
  2. Step 2: Convert to fraction form
    109,879.96/164,819.93 = 50,683.33/x
  3. Step 3: Cross multiply
    109,879.96x = 164,819.93 × 50,683.33
  4. Step 4: Simplify right side
    109,879.96x = 8,353,622,902.77
  5. Step 5: Solve for x
    x = 8,353,622,902.77/109,879.96
  6. Step 6: Final answer
    x = 76,024.99

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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.