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Finding the Fourth Proportional to 30,994.43, 46,489.01 and 12,269.38

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Solution

The fourth proportional to 30,994.43, 46,489.01 and 12,269.38 is: 18,403.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,994.43 : 46,489.01 = 12,269.38 : x
  2. Step 2: Convert to fraction form
    30,994.43/46,489.01 = 12,269.38/x
  3. Step 3: Cross multiply
    30,994.43x = 46,489.01 × 12,269.38
  4. Step 4: Simplify right side
    30,994.43x = 570,391,151.94
  5. Step 5: Solve for x
    x = 570,391,151.94/30,994.43
  6. Step 6: Final answer
    x = 18,403.02

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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.