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Finding the Fourth Proportional to 51,084, 70,450.56 and 33,161.94

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Solution

The fourth proportional to 51,084, 70,450.56 and 33,161.94 is: 45,734.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,084 : 70,450.56 = 33,161.94 : x
  2. Step 2: Convert to fraction form
    51,084/70,450.56 = 33,161.94/x
  3. Step 3: Cross multiply
    51,084x = 70,450.56 × 33,161.94
  4. Step 4: Simplify right side
    51,084x = 2,336,277,243.69
  5. Step 5: Solve for x
    x = 2,336,277,243.69/51,084
  6. Step 6: Final answer
    x = 45,734.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.