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Finding the Fourth Proportional to 40,311.80, 60,419.10 and 20,580.20

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Solution

The fourth proportional to 40,311.80, 60,419.10 and 20,580.20 is: 30,845.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,311.80 : 60,419.10 = 20,580.20 : x
  2. Step 2: Convert to fraction form
    40,311.80/60,419.10 = 20,580.20/x
  3. Step 3: Cross multiply
    40,311.80x = 60,419.10 × 20,580.20
  4. Step 4: Simplify right side
    40,311.80x = 1,243,437,161.82
  5. Step 5: Solve for x
    x = 1,243,437,161.82/40,311.80
  6. Step 6: Final answer
    x = 30,845.49

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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.