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Finding the Fourth Proportional to 109,467.64, 164,223.70 and 34,599.48

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Solution

The fourth proportional to 109,467.64, 164,223.70 and 34,599.48 is: 51,906.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,467.64 : 164,223.70 = 34,599.48 : x
  2. Step 2: Convert to fraction form
    109,467.64/164,223.70 = 34,599.48/x
  3. Step 3: Cross multiply
    109,467.64x = 164,223.70 × 34,599.48
  4. Step 4: Simplify right side
    109,467.64x = 5,682,054,623.68
  5. Step 5: Solve for x
    x = 5,682,054,623.68/109,467.64
  6. Step 6: Final answer
    x = 51,906.25

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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.