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Finding the Fourth Proportional to 32,818, 49,227 and 8,194

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Solution

The fourth proportional to 32,818, 49,227 and 8,194 is: 12,291

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,818 : 49,227 = 8,194 : x
  2. Step 2: Convert to fraction form
    32,818/49,227 = 8,194/x
  3. Step 3: Cross multiply
    32,818x = 49,227 × 8,194
  4. Step 4: Simplify right side
    32,818x = 403,366,038
  5. Step 5: Solve for x
    x = 403,366,038/32,818
  6. Step 6: Final answer
    x = 12,291

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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.