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Finding the Fourth Proportional to 131,847, 197,770.56 and 32,007.32

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Solution

The fourth proportional to 131,847, 197,770.56 and 32,007.32 is: 48,010.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,847 : 197,770.56 = 32,007.32 : x
  2. Step 2: Convert to fraction form
    131,847/197,770.56 = 32,007.32/x
  3. Step 3: Cross multiply
    131,847x = 197,770.56 × 32,007.32
  4. Step 4: Simplify right side
    131,847x = 6,330,105,600.50
  5. Step 5: Solve for x
    x = 6,330,105,600.50/131,847
  6. Step 6: Final answer
    x = 48,010.99

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1.5x scale

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.