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Finding the Fourth Proportional to 83,231.46, 124,821.27 and 27,814.50

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Solution

The fourth proportional to 83,231.46, 124,821.27 and 27,814.50 is: 41,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,231.46 : 124,821.27 = 27,814.50 : x
  2. Step 2: Convert to fraction form
    83,231.46/124,821.27 = 27,814.50/x
  3. Step 3: Cross multiply
    83,231.46x = 124,821.27 × 27,814.50
  4. Step 4: Simplify right side
    83,231.46x = 3,471,841,214.42
  5. Step 5: Solve for x
    x = 3,471,841,214.42/83,231.46
  6. Step 6: Final answer
    x = 41,713.09

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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.