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Finding the Fourth Proportional to 100,578.42, 150,886.08 and 33,114.30

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Solution

The fourth proportional to 100,578.42, 150,886.08 and 33,114.30 is: 49,677.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578.42 : 150,886.08 = 33,114.30 : x
  2. Step 2: Convert to fraction form
    100,578.42/150,886.08 = 33,114.30/x
  3. Step 3: Cross multiply
    100,578.42x = 150,886.08 × 33,114.30
  4. Step 4: Simplify right side
    100,578.42x = 4,996,486,918.94
  5. Step 5: Solve for x
    x = 4,996,486,918.94/100,578.42
  6. Step 6: Final answer
    x = 49,677.52

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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.