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Finding the Fourth Proportional to 40,234.12, 55,522.02 and 22,328.20

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Solution

The fourth proportional to 40,234.12, 55,522.02 and 22,328.20 is: 30,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,234.12 : 55,522.02 = 22,328.20 : x
  2. Step 2: Convert to fraction form
    40,234.12/55,522.02 = 22,328.20/x
  3. Step 3: Cross multiply
    40,234.12x = 55,522.02 × 22,328.20
  4. Step 4: Simplify right side
    40,234.12x = 1,239,706,766.96
  5. Step 5: Solve for x
    x = 1,239,706,766.96/40,234.12
  6. Step 6: Final answer
    x = 30,812.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.