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Finding the Fourth Proportional to 109,741.54, 164,611.11 and 26,635.54

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Solution

The fourth proportional to 109,741.54, 164,611.11 and 26,635.54 is: 39,953.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,741.54 : 164,611.11 = 26,635.54 : x
  2. Step 2: Convert to fraction form
    109,741.54/164,611.11 = 26,635.54/x
  3. Step 3: Cross multiply
    109,741.54x = 164,611.11 × 26,635.54
  4. Step 4: Simplify right side
    109,741.54x = 4,384,505,804.85
  5. Step 5: Solve for x
    x = 4,384,505,804.85/109,741.54
  6. Step 6: Final answer
    x = 39,953.02

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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.