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Finding the Fourth Proportional to 50,380.58, 75,579.48 and 20,782.24

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Solution

The fourth proportional to 50,380.58, 75,579.48 and 20,782.24 is: 31,176.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,380.58 : 75,579.48 = 20,782.24 : x
  2. Step 2: Convert to fraction form
    50,380.58/75,579.48 = 20,782.24/x
  3. Step 3: Cross multiply
    50,380.58x = 75,579.48 × 20,782.24
  4. Step 4: Simplify right side
    50,380.58x = 1,570,710,703.49
  5. Step 5: Solve for x
    x = 1,570,710,703.49/50,380.58
  6. Step 6: Final answer
    x = 31,176.91

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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.