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Finding the Fourth Proportional to 109,297.94, 163,971.61 and 33,403.37

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Solution

The fourth proportional to 109,297.94, 163,971.61 and 33,403.37 is: 50,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,297.94 : 163,971.61 = 33,403.37 : x
  2. Step 2: Convert to fraction form
    109,297.94/163,971.61 = 33,403.37/x
  3. Step 3: Cross multiply
    109,297.94x = 163,971.61 × 33,403.37
  4. Step 4: Simplify right side
    109,297.94x = 5,477,203,454.96
  5. Step 5: Solve for x
    x = 5,477,203,454.96/109,297.94
  6. Step 6: Final answer
    x = 50,112.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.