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Finding the Fourth Proportional to 34,842.26, 52,264.37 and 8,546.96

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Solution

The fourth proportional to 34,842.26, 52,264.37 and 8,546.96 is: 12,820.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,842.26 : 52,264.37 = 8,546.96 : x
  2. Step 2: Convert to fraction form
    34,842.26/52,264.37 = 8,546.96/x
  3. Step 3: Cross multiply
    34,842.26x = 52,264.37 × 8,546.96
  4. Step 4: Simplify right side
    34,842.26x = 446,701,437.08
  5. Step 5: Solve for x
    x = 446,701,437.08/34,842.26
  6. Step 6: Final answer
    x = 12,820.68

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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.