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Finding the Fourth Proportional to 51,794.56, 77,691.88 and 22,193.20

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Solution

The fourth proportional to 51,794.56, 77,691.88 and 22,193.20 is: 33,289.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,794.56 : 77,691.88 = 22,193.20 : x
  2. Step 2: Convert to fraction form
    51,794.56/77,691.88 = 22,193.20/x
  3. Step 3: Cross multiply
    51,794.56x = 77,691.88 × 22,193.20
  4. Step 4: Simplify right side
    51,794.56x = 1,724,231,431.22
  5. Step 5: Solve for x
    x = 1,724,231,431.22/51,794.56
  6. Step 6: Final answer
    x = 33,289.82

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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.