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Finding the Fourth Proportional to 84,593, 126,889.50 and 29,189

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Solution

The fourth proportional to 84,593, 126,889.50 and 29,189 is: 43,783.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,593 : 126,889.50 = 29,189 : x
  2. Step 2: Convert to fraction form
    84,593/126,889.50 = 29,189/x
  3. Step 3: Cross multiply
    84,593x = 126,889.50 × 29,189
  4. Step 4: Simplify right side
    84,593x = 3,703,777,615.50
  5. Step 5: Solve for x
    x = 3,703,777,615.50/84,593
  6. Step 6: Final answer
    x = 43,783.50

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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.