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Finding the Fourth Proportional to 75,321.52, 103,945.64 and 41,331.48

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Solution

The fourth proportional to 75,321.52, 103,945.64 and 41,331.48 is: 57,038.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,321.52 : 103,945.64 = 41,331.48 : x
  2. Step 2: Convert to fraction form
    75,321.52/103,945.64 = 41,331.48/x
  3. Step 3: Cross multiply
    75,321.52x = 103,945.64 × 41,331.48
  4. Step 4: Simplify right side
    75,321.52x = 4,296,227,140.75
  5. Step 5: Solve for x
    x = 4,296,227,140.75/75,321.52
  6. Step 6: Final answer
    x = 57,038.51

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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.