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Finding the Fourth Proportional to 82,767.62, 124,163.79 and 38,398.86

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Solution

The fourth proportional to 82,767.62, 124,163.79 and 38,398.86 is: 57,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,767.62 : 124,163.79 = 38,398.86 : x
  2. Step 2: Convert to fraction form
    82,767.62/124,163.79 = 38,398.86/x
  3. Step 3: Cross multiply
    82,767.62x = 124,163.79 × 38,398.86
  4. Step 4: Simplify right side
    82,767.62x = 4,767,747,845.28
  5. Step 5: Solve for x
    x = 4,767,747,845.28/82,767.62
  6. Step 6: Final answer
    x = 57,604.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.