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Finding the Fourth Proportional to 75,025.72, 103,531.25 and 41,027.45

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Solution

The fourth proportional to 75,025.72, 103,531.25 and 41,027.45 is: 56,615.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,025.72 : 103,531.25 = 41,027.45 : x
  2. Step 2: Convert to fraction form
    75,025.72/103,531.25 = 41,027.45/x
  3. Step 3: Cross multiply
    75,025.72x = 103,531.25 × 41,027.45
  4. Step 4: Simplify right side
    75,025.72x = 4,247,622,977.68
  5. Step 5: Solve for x
    x = 4,247,622,977.68/75,025.72
  6. Step 6: Final answer
    x = 56,615.56

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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.