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Finding the Fourth Proportional to 33,691.52, 50,540.52 and 13,969.64

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Solution

The fourth proportional to 33,691.52, 50,540.52 and 13,969.64 is: 20,955.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,691.52 : 50,540.52 = 13,969.64 : x
  2. Step 2: Convert to fraction form
    33,691.52/50,540.52 = 13,969.64/x
  3. Step 3: Cross multiply
    33,691.52x = 50,540.52 × 13,969.64
  4. Step 4: Simplify right side
    33,691.52x = 706,032,869.81
  5. Step 5: Solve for x
    x = 706,032,869.81/33,691.52
  6. Step 6: Final answer
    x = 20,955.80

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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.