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Finding the Fourth Proportional to 64,197.56, 96,296.65 and 22,644.56

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Solution

The fourth proportional to 64,197.56, 96,296.65 and 22,644.56 is: 33,966.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,197.56 : 96,296.65 = 22,644.56 : x
  2. Step 2: Convert to fraction form
    64,197.56/96,296.65 = 22,644.56/x
  3. Step 3: Cross multiply
    64,197.56x = 96,296.65 × 22,644.56
  4. Step 4: Simplify right side
    64,197.56x = 2,180,595,452.85
  5. Step 5: Solve for x
    x = 2,180,595,452.85/64,197.56
  6. Step 6: Final answer
    x = 33,966.95

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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.