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Finding the Fourth Proportional to 50,665.80, 75,998.62 and 13,729.80

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Solution

The fourth proportional to 50,665.80, 75,998.62 and 13,729.80 is: 20,594.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,665.80 : 75,998.62 = 13,729.80 : x
  2. Step 2: Convert to fraction form
    50,665.80/75,998.62 = 13,729.80/x
  3. Step 3: Cross multiply
    50,665.80x = 75,998.62 × 13,729.80
  4. Step 4: Simplify right side
    50,665.80x = 1,043,445,852.88
  5. Step 5: Solve for x
    x = 1,043,445,852.88/50,665.80
  6. Step 6: Final answer
    x = 20,594.68

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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.