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Finding the Fourth Proportional to 71,169.84, 98,224.14 and 40,954.54

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Solution

The fourth proportional to 71,169.84, 98,224.14 and 40,954.54 is: 56,522.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,169.84 : 98,224.14 = 40,954.54 : x
  2. Step 2: Convert to fraction form
    71,169.84/98,224.14 = 40,954.54/x
  3. Step 3: Cross multiply
    71,169.84x = 98,224.14 × 40,954.54
  4. Step 4: Simplify right side
    71,169.84x = 4,022,724,470.60
  5. Step 5: Solve for x
    x = 4,022,724,470.60/71,169.84
  6. Step 6: Final answer
    x = 56,522.89

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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.