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Finding the Fourth Proportional to 75,181.86, 103,750.92 and 41,192.51

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Solution

The fourth proportional to 75,181.86, 103,750.92 and 41,192.51 is: 56,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,181.86 : 103,750.92 = 41,192.51 : x
  2. Step 2: Convert to fraction form
    75,181.86/103,750.92 = 41,192.51/x
  3. Step 3: Cross multiply
    75,181.86x = 103,750.92 × 41,192.51
  4. Step 4: Simplify right side
    75,181.86x = 4,273,760,290.85
  5. Step 5: Solve for x
    x = 4,273,760,290.85/75,181.86
  6. Step 6: Final answer
    x = 56,845.63

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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.