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Finding the Fourth Proportional to 76,895.37, 106,115.63 and 43,361.37

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Solution

The fourth proportional to 76,895.37, 106,115.63 and 43,361.37 is: 59,838.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,895.37 : 106,115.63 = 43,361.37 : x
  2. Step 2: Convert to fraction form
    76,895.37/106,115.63 = 43,361.37/x
  3. Step 3: Cross multiply
    76,895.37x = 106,115.63 × 43,361.37
  4. Step 4: Simplify right side
    76,895.37x = 4,601,318,878.41
  5. Step 5: Solve for x
    x = 4,601,318,878.41/76,895.37
  6. Step 6: Final answer
    x = 59,838.70

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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.