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Finding the Fourth Proportional to 65,414.69, 98,122.42 and 23,296.41

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Solution

The fourth proportional to 65,414.69, 98,122.42 and 23,296.41 is: 34,944.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,414.69 : 98,122.42 = 23,296.41 : x
  2. Step 2: Convert to fraction form
    65,414.69/98,122.42 = 23,296.41/x
  3. Step 3: Cross multiply
    65,414.69x = 98,122.42 × 23,296.41
  4. Step 4: Simplify right side
    65,414.69x = 2,285,900,155.63
  5. Step 5: Solve for x
    x = 2,285,900,155.63/65,414.69
  6. Step 6: Final answer
    x = 34,944.75

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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.