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Finding the Fourth Proportional to 32,039.94, 48,083.96 and 12,069.14

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Solution

The fourth proportional to 32,039.94, 48,083.96 and 12,069.14 is: 18,112.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,039.94 : 48,083.96 = 12,069.14 : x
  2. Step 2: Convert to fraction form
    32,039.94/48,083.96 = 12,069.14/x
  3. Step 3: Cross multiply
    32,039.94x = 48,083.96 × 12,069.14
  4. Step 4: Simplify right side
    32,039.94x = 580,331,834.75
  5. Step 5: Solve for x
    x = 580,331,834.75/32,039.94
  6. Step 6: Final answer
    x = 18,112.76

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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.