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Finding the Fourth Proportional to 33,499.50, 50,245.20 and 11,009.04

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Solution

The fourth proportional to 33,499.50, 50,245.20 and 11,009.04 is: 16,512.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,499.50 : 50,245.20 = 11,009.04 : x
  2. Step 2: Convert to fraction form
    33,499.50/50,245.20 = 11,009.04/x
  3. Step 3: Cross multiply
    33,499.50x = 50,245.20 × 11,009.04
  4. Step 4: Simplify right side
    33,499.50x = 553,151,416.61
  5. Step 5: Solve for x
    x = 553,151,416.61/33,499.50
  6. Step 6: Final answer
    x = 16,512.23

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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.