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Finding the Fourth Proportional to 33,473.20, 46,191 and 18,569.20

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Solution

The fourth proportional to 33,473.20, 46,191 and 18,569.20 is: 25,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,473.20 : 46,191 = 18,569.20 : x
  2. Step 2: Convert to fraction form
    33,473.20/46,191 = 18,569.20/x
  3. Step 3: Cross multiply
    33,473.20x = 46,191 × 18,569.20
  4. Step 4: Simplify right side
    33,473.20x = 857,729,917.20
  5. Step 5: Solve for x
    x = 857,729,917.20/33,473.20
  6. Step 6: Final answer
    x = 25,624.38

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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.