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Finding the Fourth Proportional to 96,971.76, 133,816.14 and 54,527.76

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Solution

The fourth proportional to 96,971.76, 133,816.14 and 54,527.76 is: 75,245.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,971.76 : 133,816.14 = 54,527.76 : x
  2. Step 2: Convert to fraction form
    96,971.76/133,816.14 = 54,527.76/x
  3. Step 3: Cross multiply
    96,971.76x = 133,816.14 × 54,527.76
  4. Step 4: Simplify right side
    96,971.76x = 7,296,694,366.05
  5. Step 5: Solve for x
    x = 7,296,694,366.05/96,971.76
  6. Step 6: Final answer
    x = 75,245.56

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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.