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Finding the Fourth Proportional to 85,204.21, 117,582.27 and 49,415.44

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Solution

The fourth proportional to 85,204.21, 117,582.27 and 49,415.44 is: 68,193.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,204.21 : 117,582.27 = 49,415.44 : x
  2. Step 2: Convert to fraction form
    85,204.21/117,582.27 = 49,415.44/x
  3. Step 3: Cross multiply
    85,204.21x = 117,582.27 × 49,415.44
  4. Step 4: Simplify right side
    85,204.21x = 5,810,379,020.34
  5. Step 5: Solve for x
    x = 5,810,379,020.34/85,204.21
  6. Step 6: Final answer
    x = 68,193.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.