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Finding the Fourth Proportional to 33,843, 46,703.40 and 19,705.32

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Solution

The fourth proportional to 33,843, 46,703.40 and 19,705.32 is: 27,193.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,843 : 46,703.40 = 19,705.32 : x
  2. Step 2: Convert to fraction form
    33,843/46,703.40 = 19,705.32/x
  3. Step 3: Cross multiply
    33,843x = 46,703.40 × 19,705.32
  4. Step 4: Simplify right side
    33,843x = 920,305,442.09
  5. Step 5: Solve for x
    x = 920,305,442.09/33,843
  6. Step 6: Final answer
    x = 27,193.38

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1.5x scale

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.