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Finding the Fourth Proportional to 33,380.76, 50,076 and 11,189.16

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Solution

The fourth proportional to 33,380.76, 50,076 and 11,189.16 is: 16,785.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,380.76 : 50,076 = 11,189.16 : x
  2. Step 2: Convert to fraction form
    33,380.76/50,076 = 11,189.16/x
  3. Step 3: Cross multiply
    33,380.76x = 50,076 × 11,189.16
  4. Step 4: Simplify right side
    33,380.76x = 560,308,376.16
  5. Step 5: Solve for x
    x = 560,308,376.16/33,380.76
  6. Step 6: Final answer
    x = 16,785.37

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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.