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Finding the Fourth Proportional to 27,976.48, 41,964.82 and 10,446.12

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Solution

The fourth proportional to 27,976.48, 41,964.82 and 10,446.12 is: 15,669.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,976.48 : 41,964.82 = 10,446.12 : x
  2. Step 2: Convert to fraction form
    27,976.48/41,964.82 = 10,446.12/x
  3. Step 3: Cross multiply
    27,976.48x = 41,964.82 × 10,446.12
  4. Step 4: Simplify right side
    27,976.48x = 438,369,545.50
  5. Step 5: Solve for x
    x = 438,369,545.50/27,976.48
  6. Step 6: Final answer
    x = 15,669.22

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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.