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Finding the Fourth Proportional to 33,454.44, 46,168 and 18,347.76

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Solution

The fourth proportional to 33,454.44, 46,168 and 18,347.76 is: 25,320.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,454.44 : 46,168 = 18,347.76 : x
  2. Step 2: Convert to fraction form
    33,454.44/46,168 = 18,347.76/x
  3. Step 3: Cross multiply
    33,454.44x = 46,168 × 18,347.76
  4. Step 4: Simplify right side
    33,454.44x = 847,079,383.68
  5. Step 5: Solve for x
    x = 847,079,383.68/33,454.44
  6. Step 6: Final answer
    x = 25,320.39

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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.