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Finding the Fourth Proportional to 50,414.80, 75,622.20 and 13,478.80

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Solution

The fourth proportional to 50,414.80, 75,622.20 and 13,478.80 is: 20,218.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,414.80 : 75,622.20 = 13,478.80 : x
  2. Step 2: Convert to fraction form
    50,414.80/75,622.20 = 13,478.80/x
  3. Step 3: Cross multiply
    50,414.80x = 75,622.20 × 13,478.80
  4. Step 4: Simplify right side
    50,414.80x = 1,019,296,509.36
  5. Step 5: Solve for x
    x = 1,019,296,509.36/50,414.80
  6. Step 6: Final answer
    x = 20,218.20

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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.