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Finding the Fourth Proportional to 33,836.46, 50,758.07 and 11,646.90

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Solution

The fourth proportional to 33,836.46, 50,758.07 and 11,646.90 is: 17,471.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,836.46 : 50,758.07 = 11,646.90 : x
  2. Step 2: Convert to fraction form
    33,836.46/50,758.07 = 11,646.90/x
  3. Step 3: Cross multiply
    33,836.46x = 50,758.07 × 11,646.90
  4. Step 4: Simplify right side
    33,836.46x = 591,174,165.48
  5. Step 5: Solve for x
    x = 591,174,165.48/33,836.46
  6. Step 6: Final answer
    x = 17,471.51

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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.