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Finding the Fourth Proportional to 109,408.50, 164,112.80 and 34,536.23

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Solution

The fourth proportional to 109,408.50, 164,112.80 and 34,536.23 is: 51,804.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,408.50 : 164,112.80 = 34,536.23 : x
  2. Step 2: Convert to fraction form
    109,408.50/164,112.80 = 34,536.23/x
  3. Step 3: Cross multiply
    109,408.50x = 164,112.80 × 34,536.23
  4. Step 4: Simplify right side
    109,408.50x = 5,667,836,413.50
  5. Step 5: Solve for x
    x = 5,667,836,413.50/109,408.50
  6. Step 6: Final answer
    x = 51,804.35

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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.