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Finding the Fourth Proportional to 109,055.50, 163,583.30 and 34,181.48

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Solution

The fourth proportional to 109,055.50, 163,583.30 and 34,181.48 is: 51,272.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,055.50 : 163,583.30 = 34,181.48 : x
  2. Step 2: Convert to fraction form
    109,055.50/163,583.30 = 34,181.48/x
  3. Step 3: Cross multiply
    109,055.50x = 163,583.30 × 34,181.48
  4. Step 4: Simplify right side
    109,055.50x = 5,591,519,297.28
  5. Step 5: Solve for x
    x = 5,591,519,297.28/109,055.50
  6. Step 6: Final answer
    x = 51,272.24

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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.