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Finding the Fourth Proportional to 32,806.28, 49,217.24 and 10,619.66

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Solution

The fourth proportional to 32,806.28, 49,217.24 and 10,619.66 is: 15,932.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,806.28 : 49,217.24 = 10,619.66 : x
  2. Step 2: Convert to fraction form
    32,806.28/49,217.24 = 10,619.66/x
  3. Step 3: Cross multiply
    32,806.28x = 49,217.24 × 10,619.66
  4. Step 4: Simplify right side
    32,806.28x = 522,670,354.94
  5. Step 5: Solve for x
    x = 522,670,354.94/32,806.28
  6. Step 6: Final answer
    x = 15,932.02

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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.