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Finding the Fourth Proportional to 30,704.70, 46,019.70 and 17,344.56

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Solution

The fourth proportional to 30,704.70, 46,019.70 and 17,344.56 is: 25,995.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.70 : 46,019.70 = 17,344.56 : x
  2. Step 2: Convert to fraction form
    30,704.70/46,019.70 = 17,344.56/x
  3. Step 3: Cross multiply
    30,704.70x = 46,019.70 × 17,344.56
  4. Step 4: Simplify right side
    30,704.70x = 798,191,447.83
  5. Step 5: Solve for x
    x = 798,191,447.83/30,704.70
  6. Step 6: Final answer
    x = 25,995.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.