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Finding the Fourth Proportional to 131,333, 196,999.50 and 32,837

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Solution

The fourth proportional to 131,333, 196,999.50 and 32,837 is: 49,255.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,333 : 196,999.50 = 32,837 : x
  2. Step 2: Convert to fraction form
    131,333/196,999.50 = 32,837/x
  3. Step 3: Cross multiply
    131,333x = 196,999.50 × 32,837
  4. Step 4: Simplify right side
    131,333x = 6,468,872,581.50
  5. Step 5: Solve for x
    x = 6,468,872,581.50/131,333
  6. Step 6: Final answer
    x = 49,255.50

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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.