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Finding the Fourth Proportional to 109,736.08, 164,604.15 and 30,850.33

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Solution

The fourth proportional to 109,736.08, 164,604.15 and 30,850.33 is: 46,275.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,736.08 : 164,604.15 = 30,850.33 : x
  2. Step 2: Convert to fraction form
    109,736.08/164,604.15 = 30,850.33/x
  3. Step 3: Cross multiply
    109,736.08x = 164,604.15 × 30,850.33
  4. Step 4: Simplify right side
    109,736.08x = 5,078,092,346.87
  5. Step 5: Solve for x
    x = 5,078,092,346.87/109,736.08
  6. Step 6: Final answer
    x = 46,275.50

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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.