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Finding the Fourth Proportional to 50,727.97, 76,092 and 47,645.20

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Solution

The fourth proportional to 50,727.97, 76,092 and 47,645.20 is: 71,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,727.97 : 76,092 = 47,645.20 : x
  2. Step 2: Convert to fraction form
    50,727.97/76,092 = 47,645.20/x
  3. Step 3: Cross multiply
    50,727.97x = 76,092 × 47,645.20
  4. Step 4: Simplify right side
    50,727.97x = 3,625,418,558.40
  5. Step 5: Solve for x
    x = 3,625,418,558.40/50,727.97
  6. Step 6: Final answer
    x = 71,467.84

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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.