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Finding the Fourth Proportional to 52,096, 78,116.46 and 23,991.52

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Solution

The fourth proportional to 52,096, 78,116.46 and 23,991.52 is: 35,974.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,096 : 78,116.46 = 23,991.52 : x
  2. Step 2: Convert to fraction form
    52,096/78,116.46 = 23,991.52/x
  3. Step 3: Cross multiply
    52,096x = 78,116.46 × 23,991.52
  4. Step 4: Simplify right side
    52,096x = 1,874,132,612.42
  5. Step 5: Solve for x
    x = 1,874,132,612.42/52,096
  6. Step 6: Final answer
    x = 35,974.60

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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.