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Finding the Fourth Proportional to 100,599.42, 150,917.58 and 33,135.30

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Solution

The fourth proportional to 100,599.42, 150,917.58 and 33,135.30 is: 49,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,599.42 : 150,917.58 = 33,135.30 : x
  2. Step 2: Convert to fraction form
    100,599.42/150,917.58 = 33,135.30/x
  3. Step 3: Cross multiply
    100,599.42x = 150,917.58 × 33,135.30
  4. Step 4: Simplify right side
    100,599.42x = 5,000,699,288.57
  5. Step 5: Solve for x
    x = 5,000,699,288.57/100,599.42
  6. Step 6: Final answer
    x = 49,709.03

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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.