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Finding the Fourth Proportional to 49,977, 74,969.82 and 13,041

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Solution

The fourth proportional to 49,977, 74,969.82 and 13,041 is: 19,562.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,977 : 74,969.82 = 13,041 : x
  2. Step 2: Convert to fraction form
    49,977/74,969.82 = 13,041/x
  3. Step 3: Cross multiply
    49,977x = 74,969.82 × 13,041
  4. Step 4: Simplify right side
    49,977x = 977,681,422.62
  5. Step 5: Solve for x
    x = 977,681,422.62/49,977
  6. Step 6: Final answer
    x = 19,562.63

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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.