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Finding the Fourth Proportional to 78,056.34, 117,131.22 and 33,683.10

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Solution

The fourth proportional to 78,056.34, 117,131.22 and 33,683.10 is: 50,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,056.34 : 117,131.22 = 33,683.10 : x
  2. Step 2: Convert to fraction form
    78,056.34/117,131.22 = 33,683.10/x
  3. Step 3: Cross multiply
    78,056.34x = 117,131.22 × 33,683.10
  4. Step 4: Simplify right side
    78,056.34x = 3,945,342,596.38
  5. Step 5: Solve for x
    x = 3,945,342,596.38/78,056.34
  6. Step 6: Final answer
    x = 50,544.81

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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.