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Finding the Fourth Proportional to 30,942.37, 46,433.09 and 13,173.02

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Solution

The fourth proportional to 30,942.37, 46,433.09 and 13,173.02 is: 19,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,942.37 : 46,433.09 = 13,173.02 : x
  2. Step 2: Convert to fraction form
    30,942.37/46,433.09 = 13,173.02/x
  3. Step 3: Cross multiply
    30,942.37x = 46,433.09 × 13,173.02
  4. Step 4: Simplify right side
    30,942.37x = 611,664,023.23
  5. Step 5: Solve for x
    x = 611,664,023.23/30,942.37
  6. Step 6: Final answer
    x = 19,767.85

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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.