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Finding the Fourth Proportional to 75,959.26, 104,814.75 and 45,744.10

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Solution

The fourth proportional to 75,959.26, 104,814.75 and 45,744.10 is: 63,121.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,959.26 : 104,814.75 = 45,744.10 : x
  2. Step 2: Convert to fraction form
    75,959.26/104,814.75 = 45,744.10/x
  3. Step 3: Cross multiply
    75,959.26x = 104,814.75 × 45,744.10
  4. Step 4: Simplify right side
    75,959.26x = 4,794,656,405.48
  5. Step 5: Solve for x
    x = 4,794,656,405.48/75,959.26
  6. Step 6: Final answer
    x = 63,121.42

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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.