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Finding the Fourth Proportional to 71,716.54, 98,964.60 and 41,499.70

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Solution

The fourth proportional to 71,716.54, 98,964.60 and 41,499.70 is: 57,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,716.54 : 98,964.60 = 41,499.70 : x
  2. Step 2: Convert to fraction form
    71,716.54/98,964.60 = 41,499.70/x
  3. Step 3: Cross multiply
    71,716.54x = 98,964.60 × 41,499.70
  4. Step 4: Simplify right side
    71,716.54x = 4,107,001,210.62
  5. Step 5: Solve for x
    x = 4,107,001,210.62/71,716.54
  6. Step 6: Final answer
    x = 57,267.14

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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.