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Finding the Fourth Proportional to 34,745.20, 52,117.84 and 8,449.76

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Solution

The fourth proportional to 34,745.20, 52,117.84 and 8,449.76 is: 12,674.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,745.20 : 52,117.84 = 8,449.76 : x
  2. Step 2: Convert to fraction form
    34,745.20/52,117.84 = 8,449.76/x
  3. Step 3: Cross multiply
    34,745.20x = 52,117.84 × 8,449.76
  4. Step 4: Simplify right side
    34,745.20x = 440,383,239.72
  5. Step 5: Solve for x
    x = 440,383,239.72/34,745.20
  6. Step 6: Final answer
    x = 12,674.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.