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Finding the Fourth Proportional to 77,504.40, 116,183.52 and 58,500

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Solution

The fourth proportional to 77,504.40, 116,183.52 and 58,500 is: 87,694.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,504.40 : 116,183.52 = 58,500 : x
  2. Step 2: Convert to fraction form
    77,504.40/116,183.52 = 58,500/x
  3. Step 3: Cross multiply
    77,504.40x = 116,183.52 × 58,500
  4. Step 4: Simplify right side
    77,504.40x = 6,796,735,920
  5. Step 5: Solve for x
    x = 6,796,735,920/77,504.40
  6. Step 6: Final answer
    x = 87,694.84

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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.