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Finding the Fourth Proportional to 33,562.71, 50,343.26 and 13,827.60

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Solution

The fourth proportional to 33,562.71, 50,343.26 and 13,827.60 is: 20,741.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,562.71 : 50,343.26 = 13,827.60 : x
  2. Step 2: Convert to fraction form
    33,562.71/50,343.26 = 13,827.60/x
  3. Step 3: Cross multiply
    33,562.71x = 50,343.26 × 13,827.60
  4. Step 4: Simplify right side
    33,562.71x = 696,126,392.84
  5. Step 5: Solve for x
    x = 696,126,392.84/33,562.71
  6. Step 6: Final answer
    x = 20,741.07

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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.