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Finding the Fourth Proportional to 35,396.96, 53,048.21 and 13,187.97

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Solution

The fourth proportional to 35,396.96, 53,048.21 and 13,187.97 is: 19,764.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,396.96 : 53,048.21 = 13,187.97 : x
  2. Step 2: Convert to fraction form
    35,396.96/53,048.21 = 13,187.97/x
  3. Step 3: Cross multiply
    35,396.96x = 53,048.21 × 13,187.97
  4. Step 4: Simplify right side
    35,396.96x = 699,598,136.09
  5. Step 5: Solve for x
    x = 699,598,136.09/35,396.96
  6. Step 6: Final answer
    x = 19,764.36

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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.