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Finding the Fourth Proportional to 47,036, 70,554 and 14,204

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Solution

The fourth proportional to 47,036, 70,554 and 14,204 is: 21,306

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,036 : 70,554 = 14,204 : x
  2. Step 2: Convert to fraction form
    47,036/70,554 = 14,204/x
  3. Step 3: Cross multiply
    47,036x = 70,554 × 14,204
  4. Step 4: Simplify right side
    47,036x = 1,002,149,016
  5. Step 5: Solve for x
    x = 1,002,149,016/47,036
  6. Step 6: Final answer
    x = 21,306

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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.