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Finding the Fourth Proportional to 100,041.36, 149,923.53 and 50,057.88

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Solution

The fourth proportional to 100,041.36, 149,923.53 and 50,057.88 is: 75,017.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,041.36 : 149,923.53 = 50,057.88 : x
  2. Step 2: Convert to fraction form
    100,041.36/149,923.53 = 50,057.88/x
  3. Step 3: Cross multiply
    100,041.36x = 149,923.53 × 50,057.88
  4. Step 4: Simplify right side
    100,041.36x = 7,504,854,073.92
  5. Step 5: Solve for x
    x = 7,504,854,073.92/100,041.36
  6. Step 6: Final answer
    x = 75,017.51

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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.