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Finding the Fourth Proportional to 52,096, 78,185 and 26,794.48

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Solution

The fourth proportional to 52,096, 78,185 and 26,794.48 is: 40,212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096 : 78,185 = 26,794.48 : x
  2. Step 2: Convert to fraction form
    52,096/78,185 = 26,794.48/x
  3. Step 3: Cross multiply
    52,096x = 78,185 × 26,794.48
  4. Step 4: Simplify right side
    52,096x = 2,094,926,418.80
  5. Step 5: Solve for x
    x = 2,094,926,418.80/52,096
  6. Step 6: Final answer
    x = 40,212.81

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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.