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Finding the Fourth Proportional to 76,995, 106,253.10 and 41,667

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Solution

The fourth proportional to 76,995, 106,253.10 and 41,667 is: 57,500.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,995 : 106,253.10 = 41,667 : x
  2. Step 2: Convert to fraction form
    76,995/106,253.10 = 41,667/x
  3. Step 3: Cross multiply
    76,995x = 106,253.10 × 41,667
  4. Step 4: Simplify right side
    76,995x = 4,427,247,917.70
  5. Step 5: Solve for x
    x = 4,427,247,917.70/76,995
  6. Step 6: Final answer
    x = 57,500.46

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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.