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Finding the Fourth Proportional to 31,868, 47,802 and 13,400

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Solution

The fourth proportional to 31,868, 47,802 and 13,400 is: 20,100

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,868 : 47,802 = 13,400 : x
  2. Step 2: Convert to fraction form
    31,868/47,802 = 13,400/x
  3. Step 3: Cross multiply
    31,868x = 47,802 × 13,400
  4. Step 4: Simplify right side
    31,868x = 640,546,800
  5. Step 5: Solve for x
    x = 640,546,800/31,868
  6. Step 6: Final answer
    x = 20,100

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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.