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Finding the Fourth Proportional to 33,213, 45,830.28 and 19,782.42

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Solution

The fourth proportional to 33,213, 45,830.28 and 19,782.42 is: 27,297.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,213 : 45,830.28 = 19,782.42 : x
  2. Step 2: Convert to fraction form
    33,213/45,830.28 = 19,782.42/x
  3. Step 3: Cross multiply
    33,213x = 45,830.28 × 19,782.42
  4. Step 4: Simplify right side
    33,213x = 906,633,847.68
  5. Step 5: Solve for x
    x = 906,633,847.68/33,213
  6. Step 6: Final answer
    x = 27,297.56

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