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Finding the Fourth Proportional to 96,960.57, 133,818.38 and 54,527.31

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Solution

The fourth proportional to 96,960.57, 133,818.38 and 54,527.31 is: 75,254.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,960.57 : 133,818.38 = 54,527.31 : x
  2. Step 2: Convert to fraction form
    96,960.57/133,818.38 = 54,527.31/x
  3. Step 3: Cross multiply
    96,960.57x = 133,818.38 × 54,527.31
  4. Step 4: Simplify right side
    96,960.57x = 7,296,756,017.32
  5. Step 5: Solve for x
    x = 7,296,756,017.32/96,960.57
  6. Step 6: Final answer
    x = 75,254.88

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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.