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Finding the Fourth Proportional to 75,170.78, 103,735.69 and 41,180.48

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Solution

The fourth proportional to 75,170.78, 103,735.69 and 41,180.48 is: 56,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,170.78 : 103,735.69 = 41,180.48 : x
  2. Step 2: Convert to fraction form
    75,170.78/103,735.69 = 41,180.48/x
  3. Step 3: Cross multiply
    75,170.78x = 103,735.69 × 41,180.48
  4. Step 4: Simplify right side
    75,170.78x = 4,271,885,858.22
  5. Step 5: Solve for x
    x = 4,271,885,858.22/75,170.78
  6. Step 6: Final answer
    x = 56,829.07

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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.