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Finding the Fourth Proportional to 71,940.96, 107,876.16 and 25,187.04

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Solution

The fourth proportional to 71,940.96, 107,876.16 and 25,187.04 is: 37,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,940.96 : 107,876.16 = 25,187.04 : x
  2. Step 2: Convert to fraction form
    71,940.96/107,876.16 = 25,187.04/x
  3. Step 3: Cross multiply
    71,940.96x = 107,876.16 × 25,187.04
  4. Step 4: Simplify right side
    71,940.96x = 2,717,081,156.97
  5. Step 5: Solve for x
    x = 2,717,081,156.97/71,940.96
  6. Step 6: Final answer
    x = 37,768.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.