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Finding the Fourth Proportional to 34,714.85, 52,072.27 and 8,419.36

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Solution

The fourth proportional to 34,714.85, 52,072.27 and 8,419.36 is: 12,629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,714.85 : 52,072.27 = 8,419.36 : x
  2. Step 2: Convert to fraction form
    34,714.85/52,072.27 = 8,419.36/x
  3. Step 3: Cross multiply
    34,714.85x = 52,072.27 × 8,419.36
  4. Step 4: Simplify right side
    34,714.85x = 438,415,133.55
  5. Step 5: Solve for x
    x = 438,415,133.55/34,714.85
  6. Step 6: Final answer
    x = 12,629.04

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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.