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Finding the Fourth Proportional to 100,308.38, 150,470.49 and 33,747.98

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Solution

The fourth proportional to 100,308.38, 150,470.49 and 33,747.98 is: 50,624.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,308.38 : 150,470.49 = 33,747.98 : x
  2. Step 2: Convert to fraction form
    100,308.38/150,470.49 = 33,747.98/x
  3. Step 3: Cross multiply
    100,308.38x = 150,470.49 × 33,747.98
  4. Step 4: Simplify right side
    100,308.38x = 5,078,075,087.11
  5. Step 5: Solve for x
    x = 5,078,075,087.11/100,308.38
  6. Step 6: Final answer
    x = 50,624.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.