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Finding the Fourth Proportional to 100,267.38, 150,408.90 and 33,706.98

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Solution

The fourth proportional to 100,267.38, 150,408.90 and 33,706.98 is: 50,563.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,267.38 : 150,408.90 = 33,706.98 : x
  2. Step 2: Convert to fraction form
    100,267.38/150,408.90 = 33,706.98/x
  3. Step 3: Cross multiply
    100,267.38x = 150,408.90 × 33,706.98
  4. Step 4: Simplify right side
    100,267.38x = 5,069,829,784.12
  5. Step 5: Solve for x
    x = 5,069,829,784.12/100,267.38
  6. Step 6: Final answer
    x = 50,563.10

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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.