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Finding the Fourth Proportional to 33,128.34, 45,709.26 and 22,393.20

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Solution

The fourth proportional to 33,128.34, 45,709.26 and 22,393.20 is: 30,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,128.34 : 45,709.26 = 22,393.20 : x
  2. Step 2: Convert to fraction form
    33,128.34/45,709.26 = 22,393.20/x
  3. Step 3: Cross multiply
    33,128.34x = 45,709.26 × 22,393.20
  4. Step 4: Simplify right side
    33,128.34x = 1,023,576,601.03
  5. Step 5: Solve for x
    x = 1,023,576,601.03/33,128.34
  6. Step 6: Final answer
    x = 30,897.31

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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.