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Finding the Fourth Proportional to 109,383.76, 164,079.11 and 34,504.57

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Solution

The fourth proportional to 109,383.76, 164,079.11 and 34,504.57 is: 51,757.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,383.76 : 164,079.11 = 34,504.57 : x
  2. Step 2: Convert to fraction form
    109,383.76/164,079.11 = 34,504.57/x
  3. Step 3: Cross multiply
    109,383.76x = 164,079.11 × 34,504.57
  4. Step 4: Simplify right side
    109,383.76x = 5,661,478,964.01
  5. Step 5: Solve for x
    x = 5,661,478,964.01/109,383.76
  6. Step 6: Final answer
    x = 51,757.95

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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.