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Finding the Fourth Proportional to 33,457.64, 50,198.76 and 13,730.90

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Solution

The fourth proportional to 33,457.64, 50,198.76 and 13,730.90 is: 20,601.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,457.64 : 50,198.76 = 13,730.90 : x
  2. Step 2: Convert to fraction form
    33,457.64/50,198.76 = 13,730.90/x
  3. Step 3: Cross multiply
    33,457.64x = 50,198.76 × 13,730.90
  4. Step 4: Simplify right side
    33,457.64x = 689,274,153.68
  5. Step 5: Solve for x
    x = 689,274,153.68/33,457.64
  6. Step 6: Final answer
    x = 20,601.40

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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.