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Finding the Fourth Proportional to 78,371.87, 108,153.97 and 42,562.58

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Solution

The fourth proportional to 78,371.87, 108,153.97 and 42,562.58 is: 58,736.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,371.87 : 108,153.97 = 42,562.58 : x
  2. Step 2: Convert to fraction form
    78,371.87/108,153.97 = 42,562.58/x
  3. Step 3: Cross multiply
    78,371.87x = 108,153.97 × 42,562.58
  4. Step 4: Simplify right side
    78,371.87x = 4,603,311,353.27
  5. Step 5: Solve for x
    x = 4,603,311,353.27/78,371.87
  6. Step 6: Final answer
    x = 58,736.78

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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.