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Finding the Fourth Proportional to 33,893.58, 50,842.01 and 16,378.14

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Solution

The fourth proportional to 33,893.58, 50,842.01 and 16,378.14 is: 24,568.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,893.58 : 50,842.01 = 16,378.14 : x
  2. Step 2: Convert to fraction form
    33,893.58/50,842.01 = 16,378.14/x
  3. Step 3: Cross multiply
    33,893.58x = 50,842.01 × 16,378.14
  4. Step 4: Simplify right side
    33,893.58x = 832,697,475.77
  5. Step 5: Solve for x
    x = 832,697,475.77/33,893.58
  6. Step 6: Final answer
    x = 24,568.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.