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Finding the Fourth Proportional to 77,728, 116,593.04 and 24,418.24

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Solution

The fourth proportional to 77,728, 116,593.04 and 24,418.24 is: 36,627.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,728 : 116,593.04 = 24,418.24 : x
  2. Step 2: Convert to fraction form
    77,728/116,593.04 = 24,418.24/x
  3. Step 3: Cross multiply
    77,728x = 116,593.04 × 24,418.24
  4. Step 4: Simplify right side
    77,728x = 2,846,996,833.05
  5. Step 5: Solve for x
    x = 2,846,996,833.05/77,728
  6. Step 6: Final answer
    x = 36,627.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.