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Finding the Fourth Proportional to 33,482, 46,205.16 and 18,578.32

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Solution

The fourth proportional to 33,482, 46,205.16 and 18,578.32 is: 25,638.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,482 : 46,205.16 = 18,578.32 : x
  2. Step 2: Convert to fraction form
    33,482/46,205.16 = 18,578.32/x
  3. Step 3: Cross multiply
    33,482x = 46,205.16 × 18,578.32
  4. Step 4: Simplify right side
    33,482x = 858,414,248.13
  5. Step 5: Solve for x
    x = 858,414,248.13/33,482
  6. Step 6: Final answer
    x = 25,638.08

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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.