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Finding the Fourth Proportional to 116,190.48, 174,292.20 and 33,078

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Solution

The fourth proportional to 116,190.48, 174,292.20 and 33,078 is: 49,618.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,190.48 : 174,292.20 = 33,078 : x
  2. Step 2: Convert to fraction form
    116,190.48/174,292.20 = 33,078/x
  3. Step 3: Cross multiply
    116,190.48x = 174,292.20 × 33,078
  4. Step 4: Simplify right side
    116,190.48x = 5,765,237,391.60
  5. Step 5: Solve for x
    x = 5,765,237,391.60/116,190.48
  6. Step 6: Final answer
    x = 49,618.84

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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.