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Finding the Fourth Proportional to 31,318.92, 46,954.26 and 10,246.19

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Solution

The fourth proportional to 31,318.92, 46,954.26 and 10,246.19 is: 15,361.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,318.92 : 46,954.26 = 10,246.19 : x
  2. Step 2: Convert to fraction form
    31,318.92/46,954.26 = 10,246.19/x
  3. Step 3: Cross multiply
    31,318.92x = 46,954.26 × 10,246.19
  4. Step 4: Simplify right side
    31,318.92x = 481,102,034.50
  5. Step 5: Solve for x
    x = 481,102,034.50/31,318.92
  6. Step 6: Final answer
    x = 15,361.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.