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Finding the Fourth Proportional to 78,183.50, 107,893.17 and 42,373.49

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Solution

The fourth proportional to 78,183.50, 107,893.17 and 42,373.49 is: 58,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,183.50 : 107,893.17 = 42,373.49 : x
  2. Step 2: Convert to fraction form
    78,183.50/107,893.17 = 42,373.49/x
  3. Step 3: Cross multiply
    78,183.50x = 107,893.17 × 42,373.49
  4. Step 4: Simplify right side
    78,183.50x = 4,571,809,620.60
  5. Step 5: Solve for x
    x = 4,571,809,620.60/78,183.50
  6. Step 6: Final answer
    x = 58,475.38

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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.