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Finding the Fourth Proportional to 31,322, 46,983 and 9,434

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Solution

The fourth proportional to 31,322, 46,983 and 9,434 is: 14,151

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,322 : 46,983 = 9,434 : x
  2. Step 2: Convert to fraction form
    31,322/46,983 = 9,434/x
  3. Step 3: Cross multiply
    31,322x = 46,983 × 9,434
  4. Step 4: Simplify right side
    31,322x = 443,237,622
  5. Step 5: Solve for x
    x = 443,237,622/31,322
  6. Step 6: Final answer
    x = 14,151

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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.