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Finding the Fourth Proportional to 33,656.67, 50,489.37 and 11,464.11

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Solution

The fourth proportional to 33,656.67, 50,489.37 and 11,464.11 is: 17,197.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,656.67 : 50,489.37 = 11,464.11 : x
  2. Step 2: Convert to fraction form
    33,656.67/50,489.37 = 11,464.11/x
  3. Step 3: Cross multiply
    33,656.67x = 50,489.37 × 11,464.11
  4. Step 4: Simplify right side
    33,656.67x = 578,815,691.51
  5. Step 5: Solve for x
    x = 578,815,691.51/33,656.67
  6. Step 6: Final answer
    x = 17,197.65

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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.