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Finding the Fourth Proportional to 76,917, 106,145.46 and 41,589

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Solution

The fourth proportional to 76,917, 106,145.46 and 41,589 is: 57,392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,917 : 106,145.46 = 41,589 : x
  2. Step 2: Convert to fraction form
    76,917/106,145.46 = 41,589/x
  3. Step 3: Cross multiply
    76,917x = 106,145.46 × 41,589
  4. Step 4: Simplify right side
    76,917x = 4,414,483,535.94
  5. Step 5: Solve for x
    x = 4,414,483,535.94/76,917
  6. Step 6: Final answer
    x = 57,392.82

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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.