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Finding the Fourth Proportional to 97,077.38, 145,651.08 and 33,906.80

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Solution

The fourth proportional to 97,077.38, 145,651.08 and 33,906.80 is: 50,872.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,077.38 : 145,651.08 = 33,906.80 : x
  2. Step 2: Convert to fraction form
    97,077.38/145,651.08 = 33,906.80/x
  3. Step 3: Cross multiply
    97,077.38x = 145,651.08 × 33,906.80
  4. Step 4: Simplify right side
    97,077.38x = 4,938,562,039.34
  5. Step 5: Solve for x
    x = 4,938,562,039.34/97,077.38
  6. Step 6: Final answer
    x = 50,872.43

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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.