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Finding the Fourth Proportional to 64,141.62, 96,213.87 and 22,021.38

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Solution

The fourth proportional to 64,141.62, 96,213.87 and 22,021.38 is: 33,032.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,141.62 : 96,213.87 = 22,021.38 : x
  2. Step 2: Convert to fraction form
    64,141.62/96,213.87 = 22,021.38/x
  3. Step 3: Cross multiply
    64,141.62x = 96,213.87 × 22,021.38
  4. Step 4: Simplify right side
    64,141.62x = 2,118,762,192.54
  5. Step 5: Solve for x
    x = 2,118,762,192.54/64,141.62
  6. Step 6: Final answer
    x = 33,032.56

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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.