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Finding the Fourth Proportional to 51,463.50, 71,019.63 and 27,911.50

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Solution

The fourth proportional to 51,463.50, 71,019.63 and 27,911.50 is: 38,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,463.50 : 71,019.63 = 27,911.50 : x
  2. Step 2: Convert to fraction form
    51,463.50/71,019.63 = 27,911.50/x
  3. Step 3: Cross multiply
    51,463.50x = 71,019.63 × 27,911.50
  4. Step 4: Simplify right side
    51,463.50x = 1,982,264,402.75
  5. Step 5: Solve for x
    x = 1,982,264,402.75/51,463.50
  6. Step 6: Final answer
    x = 38,517.87

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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.