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Finding the Fourth Proportional to 100,564.97, 150,847.31 and 25,685.19

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Solution

The fourth proportional to 100,564.97, 150,847.31 and 25,685.19 is: 38,527.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,564.97 : 150,847.31 = 25,685.19 : x
  2. Step 2: Convert to fraction form
    100,564.97/150,847.31 = 25,685.19/x
  3. Step 3: Cross multiply
    100,564.97x = 150,847.31 × 25,685.19
  4. Step 4: Simplify right side
    100,564.97x = 3,874,541,882.55
  5. Step 5: Solve for x
    x = 3,874,541,882.55/100,564.97
  6. Step 6: Final answer
    x = 38,527.75

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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.