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Finding the Fourth Proportional to 34,477, 47,584.02 and 20,333.32

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Solution

The fourth proportional to 34,477, 47,584.02 and 20,333.32 is: 28,063.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,477 : 47,584.02 = 20,333.32 : x
  2. Step 2: Convert to fraction form
    34,477/47,584.02 = 20,333.32/x
  3. Step 3: Cross multiply
    34,477x = 47,584.02 × 20,333.32
  4. Step 4: Simplify right side
    34,477x = 967,541,105.55
  5. Step 5: Solve for x
    x = 967,541,105.55/34,477
  6. Step 6: Final answer
    x = 28,063.38

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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.