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Finding the Fourth Proportional to 82,829.70, 124,230.78 and 32,906.43

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Solution

The fourth proportional to 82,829.70, 124,230.78 and 32,906.43 is: 49,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,829.70 : 124,230.78 = 32,906.43 : x
  2. Step 2: Convert to fraction form
    82,829.70/124,230.78 = 32,906.43/x
  3. Step 3: Cross multiply
    82,829.70x = 124,230.78 × 32,906.43
  4. Step 4: Simplify right side
    82,829.70x = 4,087,991,465.92
  5. Step 5: Solve for x
    x = 4,087,991,465.92/82,829.70
  6. Step 6: Final answer
    x = 49,354.17

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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.