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Finding the Fourth Proportional to 34,786.98, 52,188.02 and 11,412.54

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Solution

The fourth proportional to 34,786.98, 52,188.02 and 11,412.54 is: 17,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,786.98 : 52,188.02 = 11,412.54 : x
  2. Step 2: Convert to fraction form
    34,786.98/52,188.02 = 11,412.54/x
  3. Step 3: Cross multiply
    34,786.98x = 52,188.02 × 11,412.54
  4. Step 4: Simplify right side
    34,786.98x = 595,597,865.77
  5. Step 5: Solve for x
    x = 595,597,865.77/34,786.98
  6. Step 6: Final answer
    x = 17,121.29

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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.