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Finding the Fourth Proportional to 100,335.71, 150,519.14 and 33,770.64

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Solution

The fourth proportional to 100,335.71, 150,519.14 and 33,770.64 is: 50,661.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,335.71 : 150,519.14 = 33,770.64 : x
  2. Step 2: Convert to fraction form
    100,335.71/150,519.14 = 33,770.64/x
  3. Step 3: Cross multiply
    100,335.71x = 150,519.14 × 33,770.64
  4. Step 4: Simplify right side
    100,335.71x = 5,083,127,521.20
  5. Step 5: Solve for x
    x = 5,083,127,521.20/100,335.71
  6. Step 6: Final answer
    x = 50,661.20

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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.