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Finding the Fourth Proportional to 77,353.88, 106,754.85 and 43,361.82

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Solution

The fourth proportional to 77,353.88, 106,754.85 and 43,361.82 is: 59,842.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,353.88 : 106,754.85 = 43,361.82 : x
  2. Step 2: Convert to fraction form
    77,353.88/106,754.85 = 43,361.82/x
  3. Step 3: Cross multiply
    77,353.88x = 106,754.85 × 43,361.82
  4. Step 4: Simplify right side
    77,353.88x = 4,629,084,589.83
  5. Step 5: Solve for x
    x = 4,629,084,589.83/77,353.88
  6. Step 6: Final answer
    x = 59,842.96

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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.