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Finding the Fourth Proportional to 31,313.46, 46,940.49 and 11,578.62

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Solution

The fourth proportional to 31,313.46, 46,940.49 and 11,578.62 is: 17,356.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,313.46 : 46,940.49 = 11,578.62 : x
  2. Step 2: Convert to fraction form
    31,313.46/46,940.49 = 11,578.62/x
  3. Step 3: Cross multiply
    31,313.46x = 46,940.49 × 11,578.62
  4. Step 4: Simplify right side
    31,313.46x = 543,506,096.32
  5. Step 5: Solve for x
    x = 543,506,096.32/31,313.46
  6. Step 6: Final answer
    x = 17,356.95

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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.