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Finding the Fourth Proportional to 51,863.80, 77,601.30 and 34,367.80

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Solution

The fourth proportional to 51,863.80, 77,601.30 and 34,367.80 is: 51,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,863.80 : 77,601.30 = 34,367.80 : x
  2. Step 2: Convert to fraction form
    51,863.80/77,601.30 = 34,367.80/x
  3. Step 3: Cross multiply
    51,863.80x = 77,601.30 × 34,367.80
  4. Step 4: Simplify right side
    51,863.80x = 2,666,985,958.14
  5. Step 5: Solve for x
    x = 2,666,985,958.14/51,863.80
  6. Step 6: Final answer
    x = 51,422.88

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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.