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Finding the Fourth Proportional to 71,186.92, 98,241.38 and 39,355.24

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Solution

The fourth proportional to 71,186.92, 98,241.38 and 39,355.24 is: 54,312.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,186.92 : 98,241.38 = 39,355.24 : x
  2. Step 2: Convert to fraction form
    71,186.92/98,241.38 = 39,355.24/x
  3. Step 3: Cross multiply
    71,186.92x = 98,241.38 × 39,355.24
  4. Step 4: Simplify right side
    71,186.92x = 3,866,313,087.83
  5. Step 5: Solve for x
    x = 3,866,313,087.83/71,186.92
  6. Step 6: Final answer
    x = 54,312.13

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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.