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Finding the Fourth Proportional to 30,993.50, 42,771.08 and 16,846.31

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Solution

The fourth proportional to 30,993.50, 42,771.08 and 16,846.31 is: 23,247.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,993.50 : 42,771.08 = 16,846.31 : x
  2. Step 2: Convert to fraction form
    30,993.50/42,771.08 = 16,846.31/x
  3. Step 3: Cross multiply
    30,993.50x = 42,771.08 × 16,846.31
  4. Step 4: Simplify right side
    30,993.50x = 720,534,872.71
  5. Step 5: Solve for x
    x = 720,534,872.71/30,993.50
  6. Step 6: Final answer
    x = 23,247.93

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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.