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Finding the Fourth Proportional to 51,678.92, 77,446.17 and 27,935.30

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Solution

The fourth proportional to 51,678.92, 77,446.17 and 27,935.30 is: 41,863.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,678.92 : 77,446.17 = 27,935.30 : x
  2. Step 2: Convert to fraction form
    51,678.92/77,446.17 = 27,935.30/x
  3. Step 3: Cross multiply
    51,678.92x = 77,446.17 × 27,935.30
  4. Step 4: Simplify right side
    51,678.92x = 2,163,481,605.57
  5. Step 5: Solve for x
    x = 2,163,481,605.57/51,678.92
  6. Step 6: Final answer
    x = 41,863.91

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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.