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Finding the Fourth Proportional to 50,847.99, 76,283.00 and 20,862.30

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Solution

The fourth proportional to 50,847.99, 76,283.00 and 20,862.30 is: 31,297.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,847.99 : 76,283.00 = 20,862.30 : x
  2. Step 2: Convert to fraction form
    50,847.99/76,283.00 = 20,862.30/x
  3. Step 3: Cross multiply
    50,847.99x = 76,283.00 × 20,862.30
  4. Step 4: Simplify right side
    50,847.99x = 1,591,438,345.17
  5. Step 5: Solve for x
    x = 1,591,438,345.17/50,847.99
  6. Step 6: Final answer
    x = 31,297.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.