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Finding the Fourth Proportional to 75,891.78, 104,730.17 and 41,902.38

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Solution

The fourth proportional to 75,891.78, 104,730.17 and 41,902.38 is: 57,825.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,891.78 : 104,730.17 = 41,902.38 : x
  2. Step 2: Convert to fraction form
    75,891.78/104,730.17 = 41,902.38/x
  3. Step 3: Cross multiply
    75,891.78x = 104,730.17 × 41,902.38
  4. Step 4: Simplify right side
    75,891.78x = 4,388,443,171.29
  5. Step 5: Solve for x
    x = 4,388,443,171.29/75,891.78
  6. Step 6: Final answer
    x = 57,825.01

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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.