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Finding the Fourth Proportional to 30,930.36, 46,391.22 and 13,168.14

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Solution

The fourth proportional to 30,930.36, 46,391.22 and 13,168.14 is: 19,750.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,930.36 : 46,391.22 = 13,168.14 : x
  2. Step 2: Convert to fraction form
    30,930.36/46,391.22 = 13,168.14/x
  3. Step 3: Cross multiply
    30,930.36x = 46,391.22 × 13,168.14
  4. Step 4: Simplify right side
    30,930.36x = 610,886,079.73
  5. Step 5: Solve for x
    x = 610,886,079.73/30,930.36
  6. Step 6: Final answer
    x = 19,750.37

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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.