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Finding the Fourth Proportional to 33,057.81, 45,619.83 and 17,950.26

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Solution

The fourth proportional to 33,057.81, 45,619.83 and 17,950.26 is: 24,771.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,057.81 : 45,619.83 = 17,950.26 : x
  2. Step 2: Convert to fraction form
    33,057.81/45,619.83 = 17,950.26/x
  3. Step 3: Cross multiply
    33,057.81x = 45,619.83 × 17,950.26
  4. Step 4: Simplify right side
    33,057.81x = 818,887,809.66
  5. Step 5: Solve for x
    x = 818,887,809.66/33,057.81
  6. Step 6: Final answer
    x = 24,771.39

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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.