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Finding the Fourth Proportional to 33,644.32, 46,424.56 and 20,030.24

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Solution

The fourth proportional to 33,644.32, 46,424.56 and 20,030.24 is: 27,638.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,644.32 : 46,424.56 = 20,030.24 : x
  2. Step 2: Convert to fraction form
    33,644.32/46,424.56 = 20,030.24/x
  3. Step 3: Cross multiply
    33,644.32x = 46,424.56 × 20,030.24
  4. Step 4: Simplify right side
    33,644.32x = 929,895,078.69
  5. Step 5: Solve for x
    x = 929,895,078.69/33,644.32
  6. Step 6: Final answer
    x = 27,638.99

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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.