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Finding the Fourth Proportional to 78,321.38, 108,082.89 and 42,511.48

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Solution

The fourth proportional to 78,321.38, 108,082.89 and 42,511.48 is: 58,665.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321.38 : 108,082.89 = 42,511.48 : x
  2. Step 2: Convert to fraction form
    78,321.38/108,082.89 = 42,511.48/x
  3. Step 3: Cross multiply
    78,321.38x = 108,082.89 × 42,511.48
  4. Step 4: Simplify right side
    78,321.38x = 4,594,763,346.37
  5. Step 5: Solve for x
    x = 4,594,763,346.37/78,321.38
  6. Step 6: Final answer
    x = 58,665.51

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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.