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Finding the Fourth Proportional to 75,250.90, 103,847.24 and 41,259.31

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Solution

The fourth proportional to 75,250.90, 103,847.24 and 41,259.31 is: 56,938.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,250.90 : 103,847.24 = 41,259.31 : x
  2. Step 2: Convert to fraction form
    75,250.90/103,847.24 = 41,259.31/x
  3. Step 3: Cross multiply
    75,250.90x = 103,847.24 × 41,259.31
  4. Step 4: Simplify right side
    75,250.90x = 4,284,665,467.80
  5. Step 5: Solve for x
    x = 4,284,665,467.80/75,250.90
  6. Step 6: Final answer
    x = 56,938.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.