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Finding the Fourth Proportional to 100,532.88, 150,708.60 and 38,158.56

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Solution

The fourth proportional to 100,532.88, 150,708.60 and 38,158.56 is: 57,203.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,532.88 : 150,708.60 = 38,158.56 : x
  2. Step 2: Convert to fraction form
    100,532.88/150,708.60 = 38,158.56/x
  3. Step 3: Cross multiply
    100,532.88x = 150,708.60 × 38,158.56
  4. Step 4: Simplify right side
    100,532.88x = 5,750,823,155.62
  5. Step 5: Solve for x
    x = 5,750,823,155.62/100,532.88
  6. Step 6: Final answer
    x = 57,203.41

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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.