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Finding the Fourth Proportional to 32,426.46, 48,491.46 and 23,571.54

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Solution

The fourth proportional to 32,426.46, 48,491.46 and 23,571.54 is: 35,249.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,426.46 : 48,491.46 = 23,571.54 : x
  2. Step 2: Convert to fraction form
    32,426.46/48,491.46 = 23,571.54/x
  3. Step 3: Cross multiply
    32,426.46x = 48,491.46 × 23,571.54
  4. Step 4: Simplify right side
    32,426.46x = 1,143,018,389.05
  5. Step 5: Solve for x
    x = 1,143,018,389.05/32,426.46
  6. Step 6: Final answer
    x = 35,249.56

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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.