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Finding the Fourth Proportional to 81,108.29, 111,921.73 and 47,115.84

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Solution

The fourth proportional to 81,108.29, 111,921.73 and 47,115.84 is: 65,015.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,108.29 : 111,921.73 = 47,115.84 : x
  2. Step 2: Convert to fraction form
    81,108.29/111,921.73 = 47,115.84/x
  3. Step 3: Cross multiply
    81,108.29x = 111,921.73 × 47,115.84
  4. Step 4: Simplify right side
    81,108.29x = 5,273,286,323.20
  5. Step 5: Solve for x
    x = 5,273,286,323.20/81,108.29
  6. Step 6: Final answer
    x = 65,015.38

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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.