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Finding the Fourth Proportional to 33,431.76, 46,135.20 and 18,324

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Solution

The fourth proportional to 33,431.76, 46,135.20 and 18,324 is: 25,286.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,431.76 : 46,135.20 = 18,324 : x
  2. Step 2: Convert to fraction form
    33,431.76/46,135.20 = 18,324/x
  3. Step 3: Cross multiply
    33,431.76x = 46,135.20 × 18,324
  4. Step 4: Simplify right side
    33,431.76x = 845,381,404.80
  5. Step 5: Solve for x
    x = 845,381,404.80/33,431.76
  6. Step 6: Final answer
    x = 25,286.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.