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Finding the Fourth Proportional to 34,207.20, 51,310.80 and 29,023.20

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Solution

The fourth proportional to 34,207.20, 51,310.80 and 29,023.20 is: 43,534.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,207.20 : 51,310.80 = 29,023.20 : x
  2. Step 2: Convert to fraction form
    34,207.20/51,310.80 = 29,023.20/x
  3. Step 3: Cross multiply
    34,207.20x = 51,310.80 × 29,023.20
  4. Step 4: Simplify right side
    34,207.20x = 1,489,203,610.56
  5. Step 5: Solve for x
    x = 1,489,203,610.56/34,207.20
  6. Step 6: Final answer
    x = 43,534.80

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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.