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Finding the Fourth Proportional to 77,509.44, 116,181 and 40,059.36

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Solution

The fourth proportional to 77,509.44, 116,181 and 40,059.36 is: 60,046.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,509.44 : 116,181 = 40,059.36 : x
  2. Step 2: Convert to fraction form
    77,509.44/116,181 = 40,059.36/x
  3. Step 3: Cross multiply
    77,509.44x = 116,181 × 40,059.36
  4. Step 4: Simplify right side
    77,509.44x = 4,654,136,504.16
  5. Step 5: Solve for x
    x = 4,654,136,504.16/77,509.44
  6. Step 6: Final answer
    x = 60,046.06

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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.