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Finding the Fourth Proportional to 50,855.90, 76,285.67 and 21,232.98

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Solution

The fourth proportional to 50,855.90, 76,285.67 and 21,232.98 is: 31,850.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,855.90 : 76,285.67 = 21,232.98 : x
  2. Step 2: Convert to fraction form
    50,855.90/76,285.67 = 21,232.98/x
  3. Step 3: Cross multiply
    50,855.90x = 76,285.67 × 21,232.98
  4. Step 4: Simplify right side
    50,855.90x = 1,619,771,999.23
  5. Step 5: Solve for x
    x = 1,619,771,999.23/50,855.90
  6. Step 6: Final answer
    x = 31,850.23

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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.