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Finding the Fourth Proportional to 36,508.14, 50,380.02 and 20,592

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Solution

The fourth proportional to 36,508.14, 50,380.02 and 20,592 is: 28,416.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,508.14 : 50,380.02 = 20,592 : x
  2. Step 2: Convert to fraction form
    36,508.14/50,380.02 = 20,592/x
  3. Step 3: Cross multiply
    36,508.14x = 50,380.02 × 20,592
  4. Step 4: Simplify right side
    36,508.14x = 1,037,425,371.84
  5. Step 5: Solve for x
    x = 1,037,425,371.84/36,508.14
  6. Step 6: Final answer
    x = 28,416.28

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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.