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Finding the Fourth Proportional to 57,096, 85,674.69 and 23,838.84

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Solution

The fourth proportional to 57,096, 85,674.69 and 23,838.84 is: 35,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,096 : 85,674.69 = 23,838.84 : x
  2. Step 2: Convert to fraction form
    57,096/85,674.69 = 23,838.84/x
  3. Step 3: Cross multiply
    57,096x = 85,674.69 × 23,838.84
  4. Step 4: Simplify right side
    57,096x = 2,042,385,226.96
  5. Step 5: Solve for x
    x = 2,042,385,226.96/57,096
  6. Step 6: Final answer
    x = 35,771.07

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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.