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Finding the Fourth Proportional to 32,807, 49,210.68 and 8,183

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Solution

The fourth proportional to 32,807, 49,210.68 and 8,183 is: 12,274.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,807 : 49,210.68 = 8,183 : x
  2. Step 2: Convert to fraction form
    32,807/49,210.68 = 8,183/x
  3. Step 3: Cross multiply
    32,807x = 49,210.68 × 8,183
  4. Step 4: Simplify right side
    32,807x = 402,690,994.44
  5. Step 5: Solve for x
    x = 402,690,994.44/32,807
  6. Step 6: Final answer
    x = 12,274.54

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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.