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Finding the Fourth Proportional to 33,993.68, 50,986.45 and 9,035.64

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Solution

The fourth proportional to 33,993.68, 50,986.45 and 9,035.64 is: 13,552.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,993.68 : 50,986.45 = 9,035.64 : x
  2. Step 2: Convert to fraction form
    33,993.68/50,986.45 = 9,035.64/x
  3. Step 3: Cross multiply
    33,993.68x = 50,986.45 × 9,035.64
  4. Step 4: Simplify right side
    33,993.68x = 460,695,207.08
  5. Step 5: Solve for x
    x = 460,695,207.08/33,993.68
  6. Step 6: Final answer
    x = 13,552.38

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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.