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Finding the Fourth Proportional to 34,270.98, 51,414.21 and 12,085.98

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Solution

The fourth proportional to 34,270.98, 51,414.21 and 12,085.98 is: 18,131.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,270.98 : 51,414.21 = 12,085.98 : x
  2. Step 2: Convert to fraction form
    34,270.98/51,414.21 = 12,085.98/x
  3. Step 3: Cross multiply
    34,270.98x = 51,414.21 × 12,085.98
  4. Step 4: Simplify right side
    34,270.98x = 621,391,113.78
  5. Step 5: Solve for x
    x = 621,391,113.78/34,270.98
  6. Step 6: Final answer
    x = 18,131.70

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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.