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Finding the Fourth Proportional to 33,238.80, 45,847.44 and 21,283.20

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Solution

The fourth proportional to 33,238.80, 45,847.44 and 21,283.20 is: 29,356.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,238.80 : 45,847.44 = 21,283.20 : x
  2. Step 2: Convert to fraction form
    33,238.80/45,847.44 = 21,283.20/x
  3. Step 3: Cross multiply
    33,238.80x = 45,847.44 × 21,283.20
  4. Step 4: Simplify right side
    33,238.80x = 975,780,235.01
  5. Step 5: Solve for x
    x = 975,780,235.01/33,238.80
  6. Step 6: Final answer
    x = 29,356.66

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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.