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Finding the Fourth Proportional to 77,728.50, 116,593.79 and 24,418.74

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Solution

The fourth proportional to 77,728.50, 116,593.79 and 24,418.74 is: 36,628.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,728.50 : 116,593.79 = 24,418.74 : x
  2. Step 2: Convert to fraction form
    77,728.50/116,593.79 = 24,418.74/x
  3. Step 3: Cross multiply
    77,728.50x = 116,593.79 × 24,418.74
  4. Step 4: Simplify right side
    77,728.50x = 2,847,073,443.62
  5. Step 5: Solve for x
    x = 2,847,073,443.62/77,728.50
  6. Step 6: Final answer
    x = 36,628.44

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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.