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Finding the Fourth Proportional to 36,405.24, 50,241.24 and 22,254

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Solution

The fourth proportional to 36,405.24, 50,241.24 and 22,254 is: 30,711.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,405.24 : 50,241.24 = 22,254 : x
  2. Step 2: Convert to fraction form
    36,405.24/50,241.24 = 22,254/x
  3. Step 3: Cross multiply
    36,405.24x = 50,241.24 × 22,254
  4. Step 4: Simplify right side
    36,405.24x = 1,118,068,554.96
  5. Step 5: Solve for x
    x = 1,118,068,554.96/36,405.24
  6. Step 6: Final answer
    x = 30,711.75

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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.