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Finding the Fourth Proportional to 52,096, 78,096.12 and 18,808.24

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Solution

The fourth proportional to 52,096, 78,096.12 and 18,808.24 is: 28,195.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096 : 78,096.12 = 18,808.24 : x
  2. Step 2: Convert to fraction form
    52,096/78,096.12 = 18,808.24/x
  3. Step 3: Cross multiply
    52,096x = 78,096.12 × 18,808.24
  4. Step 4: Simplify right side
    52,096x = 1,468,850,568.03
  5. Step 5: Solve for x
    x = 1,468,850,568.03/52,096
  6. Step 6: Final answer
    x = 28,195.07

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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.