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Finding the Fourth Proportional to 30,380.86, 41,924.16 and 22,420.18

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Solution

The fourth proportional to 30,380.86, 41,924.16 and 22,420.18 is: 30,938.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,380.86 : 41,924.16 = 22,420.18 : x
  2. Step 2: Convert to fraction form
    30,380.86/41,924.16 = 22,420.18/x
  3. Step 3: Cross multiply
    30,380.86x = 41,924.16 × 22,420.18
  4. Step 4: Simplify right side
    30,380.86x = 939,947,213.55
  5. Step 5: Solve for x
    x = 939,947,213.55/30,380.86
  6. Step 6: Final answer
    x = 30,938.80

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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.