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Finding the Fourth Proportional to 82,765.62, 124,149.24 and 32,857.74

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Solution

The fourth proportional to 82,765.62, 124,149.24 and 32,857.74 is: 49,286.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.62 : 124,149.24 = 32,857.74 : x
  2. Step 2: Convert to fraction form
    82,765.62/124,149.24 = 32,857.74/x
  3. Step 3: Cross multiply
    82,765.62x = 124,149.24 × 32,857.74
  4. Step 4: Simplify right side
    82,765.62x = 4,079,263,449.12
  5. Step 5: Solve for x
    x = 4,079,263,449.12/82,765.62
  6. Step 6: Final answer
    x = 49,286.93

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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.