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Finding the Fourth Proportional to 30,993.36, 42,770.98 and 16,846.19

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Solution

The fourth proportional to 30,993.36, 42,770.98 and 16,846.19 is: 23,247.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.36 : 42,770.98 = 16,846.19 : x
  2. Step 2: Convert to fraction form
    30,993.36/42,770.98 = 16,846.19/x
  3. Step 3: Cross multiply
    30,993.36x = 42,770.98 × 16,846.19
  4. Step 4: Simplify right side
    30,993.36x = 720,528,055.57
  5. Step 5: Solve for x
    x = 720,528,055.57/30,993.36
  6. Step 6: Final answer
    x = 23,247.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.