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Finding the Fourth Proportional to 33,527, 50,296.98 and 12,748.88

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Solution

The fourth proportional to 33,527, 50,296.98 and 12,748.88 is: 19,125.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,527 : 50,296.98 = 12,748.88 : x
  2. Step 2: Convert to fraction form
    33,527/50,296.98 = 12,748.88/x
  3. Step 3: Cross multiply
    33,527x = 50,296.98 × 12,748.88
  4. Step 4: Simplify right side
    33,527x = 641,230,162.38
  5. Step 5: Solve for x
    x = 641,230,162.38/33,527
  6. Step 6: Final answer
    x = 19,125.78

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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.