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Finding the Fourth Proportional to 34,212.40, 47,213.34 and 19,105.24

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Solution

The fourth proportional to 34,212.40, 47,213.34 and 19,105.24 is: 26,365.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,212.40 : 47,213.34 = 19,105.24 : x
  2. Step 2: Convert to fraction form
    34,212.40/47,213.34 = 19,105.24/x
  3. Step 3: Cross multiply
    34,212.40x = 47,213.34 × 19,105.24
  4. Step 4: Simplify right side
    34,212.40x = 902,022,191.90
  5. Step 5: Solve for x
    x = 902,022,191.90/34,212.40
  6. Step 6: Final answer
    x = 26,365.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.