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Finding the Fourth Proportional to 78,395.38, 108,183.81 and 42,584.59

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Solution

The fourth proportional to 78,395.38, 108,183.81 and 42,584.59 is: 58,765.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,395.38 : 108,183.81 = 42,584.59 : x
  2. Step 2: Convert to fraction form
    78,395.38/108,183.81 = 42,584.59/x
  3. Step 3: Cross multiply
    78,395.38x = 108,183.81 × 42,584.59
  4. Step 4: Simplify right side
    78,395.38x = 4,606,963,193.49
  5. Step 5: Solve for x
    x = 4,606,963,193.49/78,395.38
  6. Step 6: Final answer
    x = 58,765.75

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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.