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Finding the Fourth Proportional to 33,477, 46,200.42 and 18,573

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Solution

The fourth proportional to 33,477, 46,200.42 and 18,573 is: 25,631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,477 : 46,200.42 = 18,573 : x
  2. Step 2: Convert to fraction form
    33,477/46,200.42 = 18,573/x
  3. Step 3: Cross multiply
    33,477x = 46,200.42 × 18,573
  4. Step 4: Simplify right side
    33,477x = 858,080,400.66
  5. Step 5: Solve for x
    x = 858,080,400.66/33,477
  6. Step 6: Final answer
    x = 25,631.94

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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.