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Finding the Fourth Proportional to 64,414.92, 96,653.32 and 33,250.20

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Solution

The fourth proportional to 64,414.92, 96,653.32 and 33,250.20 is: 49,891.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,414.92 : 96,653.32 = 33,250.20 : x
  2. Step 2: Convert to fraction form
    64,414.92/96,653.32 = 33,250.20/x
  3. Step 3: Cross multiply
    64,414.92x = 96,653.32 × 33,250.20
  4. Step 4: Simplify right side
    64,414.92x = 3,213,742,220.66
  5. Step 5: Solve for x
    x = 3,213,742,220.66/64,414.92
  6. Step 6: Final answer
    x = 49,891.27

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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.