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Finding the Fourth Proportional to 74,138.45, 111,190.95 and 34,119

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Solution

The fourth proportional to 74,138.45, 111,190.95 and 34,119 is: 51,170.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,138.45 : 111,190.95 = 34,119 : x
  2. Step 2: Convert to fraction form
    74,138.45/111,190.95 = 34,119/x
  3. Step 3: Cross multiply
    74,138.45x = 111,190.95 × 34,119
  4. Step 4: Simplify right side
    74,138.45x = 3,793,724,023.05
  5. Step 5: Solve for x
    x = 3,793,724,023.05/74,138.45
  6. Step 6: Final answer
    x = 51,170.81

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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.