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Finding the Fourth Proportional to 100,550.67, 150,825.87 and 25,670.82

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Solution

The fourth proportional to 100,550.67, 150,825.87 and 25,670.82 is: 38,506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,550.67 : 150,825.87 = 25,670.82 : x
  2. Step 2: Convert to fraction form
    100,550.67/150,825.87 = 25,670.82/x
  3. Step 3: Cross multiply
    100,550.67x = 150,825.87 × 25,670.82
  4. Step 4: Simplify right side
    100,550.67x = 3,871,823,760.11
  5. Step 5: Solve for x
    x = 3,871,823,760.11/100,550.67
  6. Step 6: Final answer
    x = 38,506.20

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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.