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Finding the Fourth Proportional to 33,458, 46,179.24 and 20,032.24

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Solution

The fourth proportional to 33,458, 46,179.24 and 20,032.24 is: 27,648.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,458 : 46,179.24 = 20,032.24 : x
  2. Step 2: Convert to fraction form
    33,458/46,179.24 = 20,032.24/x
  3. Step 3: Cross multiply
    33,458x = 46,179.24 × 20,032.24
  4. Step 4: Simplify right side
    33,458x = 925,073,618.70
  5. Step 5: Solve for x
    x = 925,073,618.70/33,458
  6. Step 6: Final answer
    x = 27,648.80

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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.