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Finding the Fourth Proportional to 100,577.21, 150,865.79 and 25,697.49

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Solution

The fourth proportional to 100,577.21, 150,865.79 and 25,697.49 is: 38,546.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,577.21 : 150,865.79 = 25,697.49 : x
  2. Step 2: Convert to fraction form
    100,577.21/150,865.79 = 25,697.49/x
  3. Step 3: Cross multiply
    100,577.21x = 150,865.79 × 25,697.49
  4. Step 4: Simplify right side
    100,577.21x = 3,876,872,001.38
  5. Step 5: Solve for x
    x = 3,876,872,001.38/100,577.21
  6. Step 6: Final answer
    x = 38,546.23

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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.