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Finding the Fourth Proportional to 109,803.54, 164,703.56 and 34,922.60

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Solution

The fourth proportional to 109,803.54, 164,703.56 and 34,922.60 is: 52,383.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,803.54 : 164,703.56 = 34,922.60 : x
  2. Step 2: Convert to fraction form
    109,803.54/164,703.56 = 34,922.60/x
  3. Step 3: Cross multiply
    109,803.54x = 164,703.56 × 34,922.60
  4. Step 4: Simplify right side
    109,803.54x = 5,751,876,544.46
  5. Step 5: Solve for x
    x = 5,751,876,544.46/109,803.54
  6. Step 6: Final answer
    x = 52,383.34

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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.