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Finding the Fourth Proportional to 101,086.36, 151,629.53 and 30,956.56

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Solution

The fourth proportional to 101,086.36, 151,629.53 and 30,956.56 is: 46,434.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,086.36 : 151,629.53 = 30,956.56 : x
  2. Step 2: Convert to fraction form
    101,086.36/151,629.53 = 30,956.56/x
  3. Step 3: Cross multiply
    101,086.36x = 151,629.53 × 30,956.56
  4. Step 4: Simplify right side
    101,086.36x = 4,693,928,643.22
  5. Step 5: Solve for x
    x = 4,693,928,643.22/101,086.36
  6. Step 6: Final answer
    x = 46,434.84

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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.