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Finding the Fourth Proportional to 100,531.98, 150,796.94 and 25,651.32

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Solution

The fourth proportional to 100,531.98, 150,796.94 and 25,651.32 is: 38,476.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,531.98 : 150,796.94 = 25,651.32 : x
  2. Step 2: Convert to fraction form
    100,531.98/150,796.94 = 25,651.32/x
  3. Step 3: Cross multiply
    100,531.98x = 150,796.94 × 25,651.32
  4. Step 4: Simplify right side
    100,531.98x = 3,868,140,649.68
  5. Step 5: Solve for x
    x = 3,868,140,649.68/100,531.98
  6. Step 6: Final answer
    x = 38,476.72

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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.