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Finding the Fourth Proportional to 101,912.80, 152,832.82 and 41,923.75

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Solution

The fourth proportional to 101,912.80, 152,832.82 and 41,923.75 is: 62,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,912.80 : 152,832.82 = 41,923.75 : x
  2. Step 2: Convert to fraction form
    101,912.80/152,832.82 = 41,923.75/x
  3. Step 3: Cross multiply
    101,912.80x = 152,832.82 × 41,923.75
  4. Step 4: Simplify right side
    101,912.80x = 6,407,324,937.48
  5. Step 5: Solve for x
    x = 6,407,324,937.48/101,912.80
  6. Step 6: Final answer
    x = 62,870.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.