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Finding the Fourth Proportional to 32,532.42, 48,805.81 and 13,828.44

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Solution

The fourth proportional to 32,532.42, 48,805.81 and 13,828.44 is: 20,745.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,532.42 : 48,805.81 = 13,828.44 : x
  2. Step 2: Convert to fraction form
    32,532.42/48,805.81 = 13,828.44/x
  3. Step 3: Cross multiply
    32,532.42x = 48,805.81 × 13,828.44
  4. Step 4: Simplify right side
    32,532.42x = 674,907,997.64
  5. Step 5: Solve for x
    x = 674,907,997.64/32,532.42
  6. Step 6: Final answer
    x = 20,745.71

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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.