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Finding the Fourth Proportional to 77,330.64, 106,716.24 and 43,796.64

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Solution

The fourth proportional to 77,330.64, 106,716.24 and 43,796.64 is: 60,439.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,330.64 : 106,716.24 = 43,796.64 : x
  2. Step 2: Convert to fraction form
    77,330.64/106,716.24 = 43,796.64/x
  3. Step 3: Cross multiply
    77,330.64x = 106,716.24 × 43,796.64
  4. Step 4: Simplify right side
    77,330.64x = 4,673,812,745.43
  5. Step 5: Solve for x
    x = 4,673,812,745.43/77,330.64
  6. Step 6: Final answer
    x = 60,439.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.