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Finding the Fourth Proportional to 78,391.26, 108,181.89 and 42,581.26

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Solution

The fourth proportional to 78,391.26, 108,181.89 and 42,581.26 is: 58,763.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,391.26 : 108,181.89 = 42,581.26 : x
  2. Step 2: Convert to fraction form
    78,391.26/108,181.89 = 42,581.26/x
  3. Step 3: Cross multiply
    78,391.26x = 108,181.89 × 42,581.26
  4. Step 4: Simplify right side
    78,391.26x = 4,606,521,185.38
  5. Step 5: Solve for x
    x = 4,606,521,185.38/78,391.26
  6. Step 6: Final answer
    x = 58,763.20

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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.