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Finding the Fourth Proportional to 32,800, 49,200.18 and 8,176

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Solution

The fourth proportional to 32,800, 49,200.18 and 8,176 is: 12,264.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,800 : 49,200.18 = 8,176 : x
  2. Step 2: Convert to fraction form
    32,800/49,200.18 = 8,176/x
  3. Step 3: Cross multiply
    32,800x = 49,200.18 × 8,176
  4. Step 4: Simplify right side
    32,800x = 402,260,671.68
  5. Step 5: Solve for x
    x = 402,260,671.68/32,800
  6. Step 6: Final answer
    x = 12,264.04

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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.