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Finding the Fourth Proportional to 77,829.56, 116,753.00 and 33,460.80

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Solution

The fourth proportional to 77,829.56, 116,753.00 and 33,460.80 is: 50,194.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,829.56 : 116,753.00 = 33,460.80 : x
  2. Step 2: Convert to fraction form
    77,829.56/116,753.00 = 33,460.80/x
  3. Step 3: Cross multiply
    77,829.56x = 116,753.00 × 33,460.80
  4. Step 4: Simplify right side
    77,829.56x = 3,906,648,177.27
  5. Step 5: Solve for x
    x = 3,906,648,177.27/77,829.56
  6. Step 6: Final answer
    x = 50,194.92

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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.