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Finding the Fourth Proportional to 76,892, 106,110.96 and 41,564

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Solution

The fourth proportional to 76,892, 106,110.96 and 41,564 is: 57,358.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,892 : 106,110.96 = 41,564 : x
  2. Step 2: Convert to fraction form
    76,892/106,110.96 = 41,564/x
  3. Step 3: Cross multiply
    76,892x = 106,110.96 × 41,564
  4. Step 4: Simplify right side
    76,892x = 4,410,395,941.44
  5. Step 5: Solve for x
    x = 4,410,395,941.44/76,892
  6. Step 6: Final answer
    x = 57,358.32

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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.