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Finding the Fourth Proportional to 33,898.20, 50,859.50 and 11,713.82

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Solution

The fourth proportional to 33,898.20, 50,859.50 and 11,713.82 is: 17,574.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,898.20 : 50,859.50 = 11,713.82 : x
  2. Step 2: Convert to fraction form
    33,898.20/50,859.50 = 11,713.82/x
  3. Step 3: Cross multiply
    33,898.20x = 50,859.50 × 11,713.82
  4. Step 4: Simplify right side
    33,898.20x = 595,758,715.42
  5. Step 5: Solve for x
    x = 595,758,715.42/33,898.20
  6. Step 6: Final answer
    x = 17,574.94

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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.