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Finding the Fourth Proportional to 131,679, 197,518.50 and 33,183

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Solution

The fourth proportional to 131,679, 197,518.50 and 33,183 is: 49,774.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,679 : 197,518.50 = 33,183 : x
  2. Step 2: Convert to fraction form
    131,679/197,518.50 = 33,183/x
  3. Step 3: Cross multiply
    131,679x = 197,518.50 × 33,183
  4. Step 4: Simplify right side
    131,679x = 6,554,256,385.50
  5. Step 5: Solve for x
    x = 6,554,256,385.50/131,679
  6. Step 6: Final answer
    x = 49,774.50

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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.