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Finding the Fourth Proportional to 31,802, 47,703 and 9,914

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Solution

The fourth proportional to 31,802, 47,703 and 9,914 is: 14,871

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,802 : 47,703 = 9,914 : x
  2. Step 2: Convert to fraction form
    31,802/47,703 = 9,914/x
  3. Step 3: Cross multiply
    31,802x = 47,703 × 9,914
  4. Step 4: Simplify right side
    31,802x = 472,927,542
  5. Step 5: Solve for x
    x = 472,927,542/31,802
  6. Step 6: Final answer
    x = 14,871

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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.