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Finding the Fourth Proportional to 77,654.64, 116,481.64 and 22,250.64

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Solution

The fourth proportional to 77,654.64, 116,481.64 and 22,250.64 is: 33,375.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,654.64 : 116,481.64 = 22,250.64 : x
  2. Step 2: Convert to fraction form
    77,654.64/116,481.64 = 22,250.64/x
  3. Step 3: Cross multiply
    77,654.64x = 116,481.64 × 22,250.64
  4. Step 4: Simplify right side
    77,654.64x = 2,591,791,038.25
  5. Step 5: Solve for x
    x = 2,591,791,038.25/77,654.64
  6. Step 6: Final answer
    x = 33,375.87

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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.