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Finding the Fourth Proportional to 71,940.35, 107,921.64 and 24,544.34

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Solution

The fourth proportional to 71,940.35, 107,921.64 and 24,544.34 is: 36,820.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,940.35 : 107,921.64 = 24,544.34 : x
  2. Step 2: Convert to fraction form
    71,940.35/107,921.64 = 24,544.34/x
  3. Step 3: Cross multiply
    71,940.35x = 107,921.64 × 24,544.34
  4. Step 4: Simplify right side
    71,940.35x = 2,648,865,425.52
  5. Step 5: Solve for x
    x = 2,648,865,425.52/71,940.35
  6. Step 6: Final answer
    x = 36,820.30

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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.