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Finding the Fourth Proportional to 50,813.82, 76,204.57 and 47,496.90

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Solution

The fourth proportional to 50,813.82, 76,204.57 and 47,496.90 is: 71,230.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,813.82 : 76,204.57 = 47,496.90 : x
  2. Step 2: Convert to fraction form
    50,813.82/76,204.57 = 47,496.90/x
  3. Step 3: Cross multiply
    50,813.82x = 76,204.57 × 47,496.90
  4. Step 4: Simplify right side
    50,813.82x = 3,619,480,840.83
  5. Step 5: Solve for x
    x = 3,619,480,840.83/50,813.82
  6. Step 6: Final answer
    x = 71,230.24

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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.