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Finding the Fourth Proportional to 51,201.98, 76,750.24 and 19,604.60

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Solution

The fourth proportional to 51,201.98, 76,750.24 and 19,604.60 is: 29,386.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,201.98 : 76,750.24 = 19,604.60 : x
  2. Step 2: Convert to fraction form
    51,201.98/76,750.24 = 19,604.60/x
  3. Step 3: Cross multiply
    51,201.98x = 76,750.24 × 19,604.60
  4. Step 4: Simplify right side
    51,201.98x = 1,504,657,755.10
  5. Step 5: Solve for x
    x = 1,504,657,755.10/51,201.98
  6. Step 6: Final answer
    x = 29,386.71

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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.