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Finding the Fourth Proportional to 34,189.80, 51,211.80 and 29,815.80

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Solution

The fourth proportional to 34,189.80, 51,211.80 and 29,815.80 is: 44,660.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,189.80 : 51,211.80 = 29,815.80 : x
  2. Step 2: Convert to fraction form
    34,189.80/51,211.80 = 29,815.80/x
  3. Step 3: Cross multiply
    34,189.80x = 51,211.80 × 29,815.80
  4. Step 4: Simplify right side
    34,189.80x = 1,526,920,786.44
  5. Step 5: Solve for x
    x = 1,526,920,786.44/34,189.80
  6. Step 6: Final answer
    x = 44,660.13

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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.