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Finding the Fourth Proportional to 51,104.56, 76,657.18 and 17,824.50

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Solution

The fourth proportional to 51,104.56, 76,657.18 and 17,824.50 is: 26,736.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,104.56 : 76,657.18 = 17,824.50 : x
  2. Step 2: Convert to fraction form
    51,104.56/76,657.18 = 17,824.50/x
  3. Step 3: Cross multiply
    51,104.56x = 76,657.18 × 17,824.50
  4. Step 4: Simplify right side
    51,104.56x = 1,366,375,904.91
  5. Step 5: Solve for x
    x = 1,366,375,904.91/51,104.56
  6. Step 6: Final answer
    x = 26,736.87

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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.