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Finding the Fourth Proportional to 78,361.56, 108,135.97 and 42,550.78

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Solution

The fourth proportional to 78,361.56, 108,135.97 and 42,550.78 is: 58,718.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,361.56 : 108,135.97 = 42,550.78 : x
  2. Step 2: Convert to fraction form
    78,361.56/108,135.97 = 42,550.78/x
  3. Step 3: Cross multiply
    78,361.56x = 108,135.97 × 42,550.78
  4. Step 4: Simplify right side
    78,361.56x = 4,601,269,869.56
  5. Step 5: Solve for x
    x = 4,601,269,869.56/78,361.56
  6. Step 6: Final answer
    x = 58,718.46

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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.