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Finding the Fourth Proportional to 114,214, 171,321 and 31,108

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Solution

The fourth proportional to 114,214, 171,321 and 31,108 is: 46,662

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,214 : 171,321 = 31,108 : x
  2. Step 2: Convert to fraction form
    114,214/171,321 = 31,108/x
  3. Step 3: Cross multiply
    114,214x = 171,321 × 31,108
  4. Step 4: Simplify right side
    114,214x = 5,329,453,668
  5. Step 5: Solve for x
    x = 5,329,453,668/114,214
  6. Step 6: Final answer
    x = 46,662

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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.