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Finding the Fourth Proportional to 78,202.48, 117,216.23 and 33,762.64

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Solution

The fourth proportional to 78,202.48, 117,216.23 and 33,762.64 is: 50,606.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,202.48 : 117,216.23 = 33,762.64 : x
  2. Step 2: Convert to fraction form
    78,202.48/117,216.23 = 33,762.64/x
  3. Step 3: Cross multiply
    78,202.48x = 117,216.23 × 33,762.64
  4. Step 4: Simplify right side
    78,202.48x = 3,957,529,375.65
  5. Step 5: Solve for x
    x = 3,957,529,375.65/78,202.48
  6. Step 6: Final answer
    x = 50,606.19

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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.