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Finding the Fourth Proportional to 75,228, 103,815.18 and 41,694

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Solution

The fourth proportional to 75,228, 103,815.18 and 41,694 is: 57,538.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228 : 103,815.18 = 41,694 : x
  2. Step 2: Convert to fraction form
    75,228/103,815.18 = 41,694/x
  3. Step 3: Cross multiply
    75,228x = 103,815.18 × 41,694
  4. Step 4: Simplify right side
    75,228x = 4,328,470,114.92
  5. Step 5: Solve for x
    x = 4,328,470,114.92/75,228
  6. Step 6: Final answer
    x = 57,538.02

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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.