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Finding the Fourth Proportional to 103,968, 155,977.98 and 30,096

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Solution

The fourth proportional to 103,968, 155,977.98 and 30,096 is: 45,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,968 : 155,977.98 = 30,096 : x
  2. Step 2: Convert to fraction form
    103,968/155,977.98 = 30,096/x
  3. Step 3: Cross multiply
    103,968x = 155,977.98 × 30,096
  4. Step 4: Simplify right side
    103,968x = 4,694,313,286.08
  5. Step 5: Solve for x
    x = 4,694,313,286.08/103,968
  6. Step 6: Final answer
    x = 45,151.52

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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.