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Finding the Fourth Proportional to 33,864, 46,732.32 and 20,616

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Solution

The fourth proportional to 33,864, 46,732.32 and 20,616 is: 28,450.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,864 : 46,732.32 = 20,616 : x
  2. Step 2: Convert to fraction form
    33,864/46,732.32 = 20,616/x
  3. Step 3: Cross multiply
    33,864x = 46,732.32 × 20,616
  4. Step 4: Simplify right side
    33,864x = 963,433,509.12
  5. Step 5: Solve for x
    x = 963,433,509.12/33,864
  6. Step 6: Final answer
    x = 28,450.08

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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.