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Finding the Fourth Proportional to 30,991.31, 46,468.49 and 12,274.03

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Solution

The fourth proportional to 30,991.31, 46,468.49 and 12,274.03 is: 18,403.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.31 : 46,468.49 = 12,274.03 : x
  2. Step 2: Convert to fraction form
    30,991.31/46,468.49 = 12,274.03/x
  3. Step 3: Cross multiply
    30,991.31x = 46,468.49 × 12,274.03
  4. Step 4: Simplify right side
    30,991.31x = 570,355,637.03
  5. Step 5: Solve for x
    x = 570,355,637.03/30,991.31
  6. Step 6: Final answer
    x = 18,403.73

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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.