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Finding the Fourth Proportional to 32,673.84, 49,010.76 and 8,049.84

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Solution

The fourth proportional to 32,673.84, 49,010.76 and 8,049.84 is: 12,074.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,673.84 : 49,010.76 = 8,049.84 : x
  2. Step 2: Convert to fraction form
    32,673.84/49,010.76 = 8,049.84/x
  3. Step 3: Cross multiply
    32,673.84x = 49,010.76 × 8,049.84
  4. Step 4: Simplify right side
    32,673.84x = 394,528,776.28
  5. Step 5: Solve for x
    x = 394,528,776.28/32,673.84
  6. Step 6: Final answer
    x = 12,074.76

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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.