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Finding the Fourth Proportional to 51,460.50, 71,015.49 and 27,908.50

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Solution

The fourth proportional to 51,460.50, 71,015.49 and 27,908.50 is: 38,513.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,460.50 : 71,015.49 = 27,908.50 : x
  2. Step 2: Convert to fraction form
    51,460.50/71,015.49 = 27,908.50/x
  3. Step 3: Cross multiply
    51,460.50x = 71,015.49 × 27,908.50
  4. Step 4: Simplify right side
    51,460.50x = 1,981,935,802.67
  5. Step 5: Solve for x
    x = 1,981,935,802.67/51,460.50
  6. Step 6: Final answer
    x = 38,513.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.