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Finding the Fourth Proportional to 110,716.94, 166,101.78 and 35,837.10

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Solution

The fourth proportional to 110,716.94, 166,101.78 and 35,837.10 is: 53,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,716.94 : 166,101.78 = 35,837.10 : x
  2. Step 2: Convert to fraction form
    110,716.94/166,101.78 = 35,837.10/x
  3. Step 3: Cross multiply
    110,716.94x = 166,101.78 × 35,837.10
  4. Step 4: Simplify right side
    110,716.94x = 5,952,605,920.85
  5. Step 5: Solve for x
    x = 5,952,605,920.85/110,716.94
  6. Step 6: Final answer
    x = 53,764.18

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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.