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Finding the Fourth Proportional to 31,112, 46,668 and 9,224

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Solution

The fourth proportional to 31,112, 46,668 and 9,224 is: 13,836

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,112 : 46,668 = 9,224 : x
  2. Step 2: Convert to fraction form
    31,112/46,668 = 9,224/x
  3. Step 3: Cross multiply
    31,112x = 46,668 × 9,224
  4. Step 4: Simplify right side
    31,112x = 430,465,632
  5. Step 5: Solve for x
    x = 430,465,632/31,112
  6. Step 6: Final answer
    x = 13,836

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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.