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Finding the Fourth Proportional to 32,680, 49,020 and 8,056

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Solution

The fourth proportional to 32,680, 49,020 and 8,056 is: 12,084

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,680 : 49,020 = 8,056 : x
  2. Step 2: Convert to fraction form
    32,680/49,020 = 8,056/x
  3. Step 3: Cross multiply
    32,680x = 49,020 × 8,056
  4. Step 4: Simplify right side
    32,680x = 394,905,120
  5. Step 5: Solve for x
    x = 394,905,120/32,680
  6. Step 6: Final answer
    x = 12,084

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.