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Finding the Fourth Proportional to 30,683.92, 46,015.92 and 9,902.56

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Solution

The fourth proportional to 30,683.92, 46,015.92 and 9,902.56 is: 14,850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,683.92 : 46,015.92 = 9,902.56 : x
  2. Step 2: Convert to fraction form
    30,683.92/46,015.92 = 9,902.56/x
  3. Step 3: Cross multiply
    30,683.92x = 46,015.92 × 9,902.56
  4. Step 4: Simplify right side
    30,683.92x = 455,675,408.76
  5. Step 5: Solve for x
    x = 455,675,408.76/30,683.92
  6. Step 6: Final answer
    x = 14,850.63

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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.