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Finding the Fourth Proportional to 78,056.09, 117,130.85 and 33,682.85

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Solution

The fourth proportional to 78,056.09, 117,130.85 and 33,682.85 is: 50,544.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,056.09 : 117,130.85 = 33,682.85 : x
  2. Step 2: Convert to fraction form
    78,056.09/117,130.85 = 33,682.85/x
  3. Step 3: Cross multiply
    78,056.09x = 117,130.85 × 33,682.85
  4. Step 4: Simplify right side
    78,056.09x = 3,945,300,096.85
  5. Step 5: Solve for x
    x = 3,945,300,096.85/78,056.09
  6. Step 6: Final answer
    x = 50,544.42

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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.