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Finding the Fourth Proportional to 126,584.64, 189,765.21 and 47,754.22

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Solution

The fourth proportional to 126,584.64, 189,765.21 and 47,754.22 is: 71,589.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,584.64 : 189,765.21 = 47,754.22 : x
  2. Step 2: Convert to fraction form
    126,584.64/189,765.21 = 47,754.22/x
  3. Step 3: Cross multiply
    126,584.64x = 189,765.21 × 47,754.22
  4. Step 4: Simplify right side
    126,584.64x = 9,062,089,586.69
  5. Step 5: Solve for x
    x = 9,062,089,586.69/126,584.64
  6. Step 6: Final answer
    x = 71,589.17

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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.