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Finding the Fourth Proportional to 75,898.25, 104,734.17 and 41,901.24

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Solution

The fourth proportional to 75,898.25, 104,734.17 and 41,901.24 is: 57,820.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,898.25 : 104,734.17 = 41,901.24 : x
  2. Step 2: Convert to fraction form
    75,898.25/104,734.17 = 41,901.24/x
  3. Step 3: Cross multiply
    75,898.25x = 104,734.17 × 41,901.24
  4. Step 4: Simplify right side
    75,898.25x = 4,388,491,593.37
  5. Step 5: Solve for x
    x = 4,388,491,593.37/75,898.25
  6. Step 6: Final answer
    x = 57,820.72

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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.