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Finding the Fourth Proportional to 109,804.36, 164,706.54 and 26,697.64

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Solution

The fourth proportional to 109,804.36, 164,706.54 and 26,697.64 is: 40,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,804.36 : 164,706.54 = 26,697.64 : x
  2. Step 2: Convert to fraction form
    109,804.36/164,706.54 = 26,697.64/x
  3. Step 3: Cross multiply
    109,804.36x = 164,706.54 × 26,697.64
  4. Step 4: Simplify right side
    109,804.36x = 4,397,275,910.57
  5. Step 5: Solve for x
    x = 4,397,275,910.57/109,804.36
  6. Step 6: Final answer
    x = 40,046.46

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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.