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Finding the Fourth Proportional to 33,823.16, 46,676.02 and 18,716.46

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Solution

The fourth proportional to 33,823.16, 46,676.02 and 18,716.46 is: 25,828.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,823.16 : 46,676.02 = 18,716.46 : x
  2. Step 2: Convert to fraction form
    33,823.16/46,676.02 = 18,716.46/x
  3. Step 3: Cross multiply
    33,823.16x = 46,676.02 × 18,716.46
  4. Step 4: Simplify right side
    33,823.16x = 873,609,861.29
  5. Step 5: Solve for x
    x = 873,609,861.29/33,823.16
  6. Step 6: Final answer
    x = 25,828.75

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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.