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Finding the Fourth Proportional to 32,920, 49,380 and 8,296

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Solution

The fourth proportional to 32,920, 49,380 and 8,296 is: 12,444

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,920 : 49,380 = 8,296 : x
  2. Step 2: Convert to fraction form
    32,920/49,380 = 8,296/x
  3. Step 3: Cross multiply
    32,920x = 49,380 × 8,296
  4. Step 4: Simplify right side
    32,920x = 409,656,480
  5. Step 5: Solve for x
    x = 409,656,480/32,920
  6. Step 6: Final answer
    x = 12,444

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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.