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Finding the Fourth Proportional to 50,731.80, 69,967.20 and 38,014.80

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Solution

The fourth proportional to 50,731.80, 69,967.20 and 38,014.80 is: 52,428.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,731.80 : 69,967.20 = 38,014.80 : x
  2. Step 2: Convert to fraction form
    50,731.80/69,967.20 = 38,014.80/x
  3. Step 3: Cross multiply
    50,731.80x = 69,967.20 × 38,014.80
  4. Step 4: Simplify right side
    50,731.80x = 2,659,789,114.56
  5. Step 5: Solve for x
    x = 2,659,789,114.56/50,731.80
  6. Step 6: Final answer
    x = 52,428.44

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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.