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Finding the Fourth Proportional to 85,949.34, 118,611 and 47,709.60

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Solution

The fourth proportional to 85,949.34, 118,611 and 47,709.60 is: 65,839.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,949.34 : 118,611 = 47,709.60 : x
  2. Step 2: Convert to fraction form
    85,949.34/118,611 = 47,709.60/x
  3. Step 3: Cross multiply
    85,949.34x = 118,611 × 47,709.60
  4. Step 4: Simplify right side
    85,949.34x = 5,658,883,365.60
  5. Step 5: Solve for x
    x = 5,658,883,365.60/85,949.34
  6. Step 6: Final answer
    x = 65,839.75

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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.