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Finding the Fourth Proportional to 96,760.38, 133,521.95 and 54,310.71

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Solution

The fourth proportional to 96,760.38, 133,521.95 and 54,310.71 is: 74,944.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,760.38 : 133,521.95 = 54,310.71 : x
  2. Step 2: Convert to fraction form
    96,760.38/133,521.95 = 54,310.71/x
  3. Step 3: Cross multiply
    96,760.38x = 133,521.95 × 54,310.71
  4. Step 4: Simplify right side
    96,760.38x = 7,251,672,040.86
  5. Step 5: Solve for x
    x = 7,251,672,040.86/96,760.38
  6. Step 6: Final answer
    x = 74,944.64

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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.