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Finding the Fourth Proportional to 32,838, 49,257 and 8,214

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Solution

The fourth proportional to 32,838, 49,257 and 8,214 is: 12,321

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,838 : 49,257 = 8,214 : x
  2. Step 2: Convert to fraction form
    32,838/49,257 = 8,214/x
  3. Step 3: Cross multiply
    32,838x = 49,257 × 8,214
  4. Step 4: Simplify right side
    32,838x = 404,596,998
  5. Step 5: Solve for x
    x = 404,596,998/32,838
  6. Step 6: Final answer
    x = 12,321

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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.