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Finding the Fourth Proportional to 33,978.70, 50,924.94 and 19,195.93

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Solution

The fourth proportional to 33,978.70, 50,924.94 and 19,195.93 is: 28,769.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,978.70 : 50,924.94 = 19,195.93 : x
  2. Step 2: Convert to fraction form
    33,978.70/50,924.94 = 19,195.93/x
  3. Step 3: Cross multiply
    33,978.70x = 50,924.94 × 19,195.93
  4. Step 4: Simplify right side
    33,978.70x = 977,551,583.49
  5. Step 5: Solve for x
    x = 977,551,583.49/33,978.70
  6. Step 6: Final answer
    x = 28,769.54

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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.