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Finding the Fourth Proportional to 40,096.50, 60,137.01 and 12,020.10

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Solution

The fourth proportional to 40,096.50, 60,137.01 and 12,020.10 is: 18,027.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,096.50 : 60,137.01 = 12,020.10 : x
  2. Step 2: Convert to fraction form
    40,096.50/60,137.01 = 12,020.10/x
  3. Step 3: Cross multiply
    40,096.50x = 60,137.01 × 12,020.10
  4. Step 4: Simplify right side
    40,096.50x = 722,852,873.90
  5. Step 5: Solve for x
    x = 722,852,873.90/40,096.50
  6. Step 6: Final answer
    x = 18,027.83

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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.