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Finding the Fourth Proportional to 33,458.64, 50,200.26 and 13,731.90

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Solution

The fourth proportional to 33,458.64, 50,200.26 and 13,731.90 is: 20,602.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,458.64 : 50,200.26 = 13,731.90 : x
  2. Step 2: Convert to fraction form
    33,458.64/50,200.26 = 13,731.90/x
  3. Step 3: Cross multiply
    33,458.64x = 50,200.26 × 13,731.90
  4. Step 4: Simplify right side
    33,458.64x = 689,344,950.29
  5. Step 5: Solve for x
    x = 689,344,950.29/33,458.64
  6. Step 6: Final answer
    x = 20,602.90

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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.