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Finding the Fourth Proportional to 96,946.38, 133,797.96 and 54,504

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Solution

The fourth proportional to 96,946.38, 133,797.96 and 54,504 is: 75,222.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,946.38 : 133,797.96 = 54,504 : x
  2. Step 2: Convert to fraction form
    96,946.38/133,797.96 = 54,504/x
  3. Step 3: Cross multiply
    96,946.38x = 133,797.96 × 54,504
  4. Step 4: Simplify right side
    96,946.38x = 7,292,524,011.84
  5. Step 5: Solve for x
    x = 7,292,524,011.84/96,946.38
  6. Step 6: Final answer
    x = 75,222.24

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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.