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Finding the Fourth Proportional to 30,960.84, 46,438.83 and 11,243.82

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Solution

The fourth proportional to 30,960.84, 46,438.83 and 11,243.82 is: 16,864.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,960.84 : 46,438.83 = 11,243.82 : x
  2. Step 2: Convert to fraction form
    30,960.84/46,438.83 = 11,243.82/x
  3. Step 3: Cross multiply
    30,960.84x = 46,438.83 × 11,243.82
  4. Step 4: Simplify right side
    30,960.84x = 522,149,845.53
  5. Step 5: Solve for x
    x = 522,149,845.53/30,960.84
  6. Step 6: Final answer
    x = 16,864.85

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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.