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Finding the Fourth Proportional to 34,936, 48,213.12 and 20,032

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Solution

The fourth proportional to 34,936, 48,213.12 and 20,032 is: 27,644.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,936 : 48,213.12 = 20,032 : x
  2. Step 2: Convert to fraction form
    34,936/48,213.12 = 20,032/x
  3. Step 3: Cross multiply
    34,936x = 48,213.12 × 20,032
  4. Step 4: Simplify right side
    34,936x = 965,805,219.84
  5. Step 5: Solve for x
    x = 965,805,219.84/34,936
  6. Step 6: Final answer
    x = 27,644.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.