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Finding the Fourth Proportional to 31,464, 47,196 and 9,576

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Solution

The fourth proportional to 31,464, 47,196 and 9,576 is: 14,364

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,464 : 47,196 = 9,576 : x
  2. Step 2: Convert to fraction form
    31,464/47,196 = 9,576/x
  3. Step 3: Cross multiply
    31,464x = 47,196 × 9,576
  4. Step 4: Simplify right side
    31,464x = 451,948,896
  5. Step 5: Solve for x
    x = 451,948,896/31,464
  6. Step 6: Final answer
    x = 14,364

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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.