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Finding the Fourth Proportional to 63,695, 95,542.50 and 22,142

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Solution

The fourth proportional to 63,695, 95,542.50 and 22,142 is: 33,213

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,695 : 95,542.50 = 22,142 : x
  2. Step 2: Convert to fraction form
    63,695/95,542.50 = 22,142/x
  3. Step 3: Cross multiply
    63,695x = 95,542.50 × 22,142
  4. Step 4: Simplify right side
    63,695x = 2,115,502,035
  5. Step 5: Solve for x
    x = 2,115,502,035/63,695
  6. Step 6: Final answer
    x = 33,213

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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.