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Finding the Fourth Proportional to 77,675, 116,261.88 and 40,183.44

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Solution

The fourth proportional to 77,675, 116,261.88 and 40,183.44 is: 60,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,675 : 116,261.88 = 40,183.44 : x
  2. Step 2: Convert to fraction form
    77,675/116,261.88 = 40,183.44/x
  3. Step 3: Cross multiply
    77,675x = 116,261.88 × 40,183.44
  4. Step 4: Simplify right side
    77,675x = 4,671,802,279.27
  5. Step 5: Solve for x
    x = 4,671,802,279.27/77,675
  6. Step 6: Final answer
    x = 60,145.51

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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.