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Finding the Fourth Proportional to 75,843.10, 104,659.05 and 41,851.52

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Solution

The fourth proportional to 75,843.10, 104,659.05 and 41,851.52 is: 57,752.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,843.10 : 104,659.05 = 41,851.52 : x
  2. Step 2: Convert to fraction form
    75,843.10/104,659.05 = 41,851.52/x
  3. Step 3: Cross multiply
    75,843.10x = 104,659.05 × 41,851.52
  4. Step 4: Simplify right side
    75,843.10x = 4,380,140,350.38
  5. Step 5: Solve for x
    x = 4,380,140,350.38/75,843.10
  6. Step 6: Final answer
    x = 57,752.65

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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.